1.

The measure of angles of a triangle are in the ratio 12 : 10 : 14. Find the measure of angles of that triangle.​

Answer»

Answer:

GIVEN

To FIND

  • Measures of all angles

SOLUTION

Let the ratio be 12x 10x 14x

We know that the SUM of all the angles of triangle Is 180^{\circ}

12x+10x+14x=180

36x = 180

X = 180/36

X= 10/2

X= 5

12x = 12×5 = 60^{\circ}

10x = 10 × 5= 50^{\circ}

14x = 14 × 5 = 70^{\circ}

MORE To KNOW

  • Triangle is the polygon of 3 sides
  • It is of 3 types - equilateral, isosceles and scalene.
  • Angle sum PROPERTY of triangle states that sum of all angles of triangle is 180 degree.
  • The exterior angle of a triangle is equal to the sum of angle of its opposite sides.


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