Question

Find the measures of the interior angles of a triangle that has two exterior angles of 120 degrees and 150 degrees

Answer 1

Hey!!

We know, a straight line has an angle of 180 degrees

A triangle has 3 straight lines

We are  given two exterior angles , Now let us find the supplementary angle, which is the angles which completes a straight line with the given angles

1st angle  = 150

supplement = 180 - 150

= 30

One angle of a triangle is 30

2nd angle = 120

supplement = 180 - 120

= 60

The second angle is 60 degrees

Ina triangle, if we add up all the angles , we get 180. This is called the interior angle property of a triangle

we got, 30 , 60 and we got to find one more

let us take the third angle as ' x '

30 + 60 + x = 180

90 + x = 180

x = 90

The angles of a triangle are

30 , 60 , 90

Hope helps!