Question

1. If 120 is an exterior angle and 50 degree and  X are interior angles of find x

2. If angles of a triangle are in the ratio 1:2:1 then find the measurement of each angle

3.​

Answer 1

Answer:

1.]

Exterior angle = 120°

Interior angles = 50° and x°

Exterior angle = Sum of the interior angles

Therefore, 120 = 50 + x

Therefore, x = 120 - 50

Therefore, x = 70°

2.]

Ratio of angles of a triangle = 1:2:1

Let the common multiple be x .

Therefore, the three angles are 1x , 2x and 1x.

The sum of all the angles in a triangle is equal to 180°.

Therefore, 1x+2x+1x = 180

Therefore, 4x = 180

Therefore, x = 180/4

Therefore, x = 45.

Measurement of 1st angle = 1x = 1 × 45 = 45°

Measurement of 2nd angle = 2x = 2 × 45 = 90°

Measurement of 3rd angle = 1x = 1 x 45 = 45°