Do as directed.1. The measure of three angles of a quadrilateral is 30

1.	Do as directed.1. The measure of three angles of a quadrilateral is 30°, 70° and 100". Find out (1)the measurement of fourth angle.
Answer» Answer: Consider a quadrilateral, ABCD. Let: angle A = 30°. angle B = 70°. angle C = 100°. Let, angle D, be the fourth angle. Sum of all angles of a quadrilateral = 360°. That is, angle A + angle B + angle C + angle D = 360°. Substituting the GIVEN VALUES, we get, 30° + 70° + 100° + (angle D) = 360°. 200° + (angle D) = 360°. angle D = 360° - 200° = 160°. Therefore, *MEASURE* of the *fourth* angle** = 160°.

Do as directed.1. The measure of three angles of a quadrilateral is 30°, 70° and 100". Find out (1)the measurement of fourth angle.

Answer»

Answer:

Consider a quadrilateral, ABCD.

Let:

angle A = 30°.

angle B = 70°.

angle C = 100°.

Let, angle D, be the fourth angle.

Sum of all angles of a quadrilateral = 360°.

That is,

angle A + angle B + angle C + angle D = 360°.

Substituting the GIVEN VALUES, we get,

30° + 70° + 100° + (angle D) = 360°.

200° + (angle D) = 360°.

angle D = 360° - 200° = 160°.

Therefore,

MEASURE of the fourth angle = 160°.