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1.

If a ray stands on a line, then the sum of two adjacent angle is 180°.(a) True(b) FalseI have been asked this question in class test.My question comes from Pair of Angles in section Lines and Angles of Mathematics – Class 9

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Correct OPTION is (a) True

To explain I WOULD say: As shown in below DIAGRAM, we can see that ray OQ stands on line PQ.

We know that ANGLE formed by a line is 180° so angle formed by the line PQ is 180°.

We also know that for two adjacent angles ∠POR and ∠ROQ,

∠POR + ∠ROQ = ∠POQ = angle formed by line PQ = 180°.

2.

The sum of two supplementary angles is __________(a) > 90°(b) < 90°(c) = 90°(d) = 180°This question was addressed to me in class test.My question comes from Lines and Angles Definitions and Basic Terms topic in division Lines and Angles of Mathematics – Class 9

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Right choice is (d) = 180°

The best I can EXPLAIN: When the SUM of two angles are equal to 180°, they are called supplementary angles. In the diagram SHOWN below, ∠POR and ∠ROQ are supplementary angles because ∠POR + ∠ROQ = 180°.

3.

The sum of complimentary angles is __________(a) > 90°(b) < 90°(c) = 90°(d) = 180°I have been asked this question in an international level competition.My enquiry is from Lines and Angles Definitions and Basic Terms topic in section Lines and Angles of Mathematics – Class 9

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Right OPTION is (c) = 90°

The EXPLANATION: When the sum of two angles are equal to 90°, they are called COMPLIMENTARY angles. In the diagram SHOWN below, ∠POR and ∠ROQ are complimentary angles because ∠POR + ∠ROQ = 90°.

4.

If 180° < x < 360°, then x is a __________ angle.(a) acute(b) obtuse(c) reflex(d) rightThis question was posed to me in class test.This intriguing question originated from Lines and Angles Definitions and Basic Terms topic in chapter Lines and Angles of Mathematics – Class 9

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Right answer is (C) REFLEX

To elaborate: An ANGLE which is GREATER than 180° but less than 360° is called reflex angle. It is SHOWN in the diagram below in which ∠PQR is a reflex angle.

5.

What is the angle formed by a line?(a) 90°(b) 180°(c) 270°(d) 360°I got this question in a job interview.The above asked question is from Lines and Angles Definitions and Basic Terms topic in chapter Lines and Angles of Mathematics – Class 9

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Right choice is (B) 180°

To elaborate: It can be SHOWN in the diagram GIVEN below that ANGLE formed by a line is 180 DEGREE.

6.

If x is a right angle, what is true for x?(a) x = 90°(b) 180° < x < 360°(c) 0° < x < 90°(d) 90° < x < 180°The question was posed to me in examination.My enquiry is from Lines and Angles Definitions and Basic Terms topic in chapter Lines and Angles of Mathematics – Class 9

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Correct OPTION is (a) x = 90°

To elaborate: A right ANGLE is exactly EQUAL to 90°. It is shown in the diagram below in which ∠POQ is the right angle whose VALUE is equal to 90°.

7.

If x is an obtuse angle, then what is true for x?(a) x = 90°(b) 180° < x < 360°(c) 0° < x < 90°(d) 90° < x < 180°This question was addressed to me during an interview for a job.The above asked question is from Lines and Angles Definitions and Basic Terms in division Lines and Angles of Mathematics – Class 9

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The correct option is (d) 90° < X < 180°

To ELABORATE: An obtuse angle always measures between 90° and 180°, therefore the value of an ACUTE angle is always between 90° and 180°. In the diagram given below, ∠PQR is an obtuse angle whose value is GREATER than 90° and LESS than 180°.

8.

If x is an acute angle, then what is true for x?(a) x = 90°(b) 0° < x < 90°(c) 90° < x < 180°(d) 180° < x < 360°The question was asked in class test.I'm obligated to ask this question of Lines and Angles Definitions and Basic Terms topic in section Lines and Angles of Mathematics – Class 9

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The correct answer is (B) 0° < x < 90°

To explain: An ACUTE ANGLE always measures between 0° and 90°, therefore the value of an acute angle is always between 0° and 90°. It is shown in the DIAGRAM below in which ∠POQ is an acute angle whose value is LESS than 90°.

9.

How many endpoints does a ray have?(a) One(b) Two(c) Three(d) FourThis question was posed to me by my school principal while I was bunking the class.Question is from Lines and Angles Definitions and Basic Terms in chapter Lines and Angles of Mathematics – Class 9

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Correct ANSWER is (a) ONE

To elaborate: A ray has one end point P as shown in below diagram. It originates from this point.

10.

A line with two endpoints is called __________(a) line(b) ray(c) line-segment(d) triangleI have been asked this question in final exam.The question is from Lines and Angles Definitions and Basic Terms topic in division Lines and Angles of Mathematics – Class 9

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Correct choice is (c) line-segment

Easiest EXPLANATION: A line-segment has two endpoints, P and Q as SHOWN in below diagram.