Answer: The measure of ∠R = 108.25°
Step-by-step explanation:
The sum of the interior angles of a pentagon is 540°
We can use that to set up an equation to calculate the value of x, then use that value to calculate the measure of the angle requested.
(3x + 1) + (2x + 15) + (3x + 10) + (3x -8) + (5x -2) = 540
Combine like terms
3x+ 2x+ 3x +3x + 5x + 1 + 15 +10 -8 -2 = 540
16x + 16 = 540
16x = 524
x = 32.75
The measure of Angle R is 3x -10
3(32.75) + 10
∠R = 98.25 + 10
∠R = 108.25°
