Question

The measure of an interior angle of a triangle is 10n the measure of the corresponding exterior angle is 30 more then half the measure of the interior angle. What are the interior and exterior angles?

Answer 1

Interior angle 100 degrees

Exterior angle 80 degrees

Explanation:

we know that

The sum of an exterior angle of a triangle and its adjacent interior angle is 180 degrees.

we have that

`10n+(5n+30)=180`

solve for n

`10n+5n=180-30`

`15n=150`

`1n=10`

Find the measure of the interior angle

`10n=10(10)=100^o`

Find the measure of the exterior angle

`(5n+30)=5(10)+30=80^o`