Question

Giving this for 50 points! I really need this quick btw. Thank you :)

GIVEN: SRUT is a parallelogram(show your solution)​

Answer 1

a) 6

b) 85°

c) 85°

Explanation:

In a Parallelogram, adjacent angles are supplementary.

∠S + ∠T = 180°

(4x + 10 + 7x + 9) + 95= 180

4x + 10 + 7x + 9 + 95 = 180

Combine like terms,

11x + 114 = 180

11x = 180 - 114

11x = 66

Divide both sides by 11,

x = 66 ÷ 11

`\boxed{\bf x = 6}`

b) ∠U + ∠T = 180°

∠U+ 95 = 180

∠U = 180 - 95

`\boxed{\bf \angle \ U = 85^\circ}`

c) ∠S + ∠T = 180°

∠S + 95 = 180

∠S = 180 - 95

`\boxed{\bf \angle \ S = 85^\circ}`