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

Answer:

Interior angle 100 degrees

Exterior angle 80 degrees

Step-by-step 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

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