I need to find the value of x and the measure of the exterior angle

Given:

In a right angle triangle, the measure of exterior angle is .

The measure of opposite interior angle is .

To find:

The value of x.

Solution:

Exterior angle theorem: In a triangle the measure of an exterior angle is equal to the measure of sum of two interior angles.

Using exterior angle theorem, we get

Isolate the variable x.

The value of x is 15. So, the measure of the exterior angle is:

Therefore, the value of x is 15 and the measure of the exterior angle is 151 degrees.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9