Answer:
∠ R = 50°
Step-by-step explanation:
In a parallelogram
• consecutive angles are supplementary ( sum to 180° )
∠ P and ∠ T are consecutive angles
sum the 2 angles, equate to 180 and solve for x
5x - 5 + 2x - 4 = 180 ( simplify left side )
7x - 9 = 180 ( add 9 to both sides )
7x = 189 ( divide both sides by 7 )
x = 27
Then
∠ T = 2x - 4 = 2(27) - 4 = 54 - 4 = 50°
In a parallelogram
• opposite angles are congruent (equal)
Then
∠ R = ∠ T = 50°
