Question

Fill inthe blanks - triangle measurements

Answer 1

refer to the pic attached for steps

Answer 2

47

Explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

9x+2 = 23+ 5x-1

Combine like terms

9x+2 = 5x+22

Subtract 5x from each side

9x+2-5x = 5x+22-5x

4x+2 =22

Subtract 2

4x +2-2 =22-2

4x= 20

Divide by 4

4x/4 =20/4

x=5

We want to find

<PRS = 9x+2 = 9(5)+2 = 45+2 = 47