Question

I dont even understand this can someone please help me its math the worse subject

Answer 1

x = 15 , ∠ VQS = 135° , ∠ SQT = 45°

Explanation:

∠ VQS and ∠ SQT are a linear pair and sum to 180°

to find x , sum the 2 angles and equate to 180

8x + 15 + 2x + 15 = 180 ( simplify left side )

10x + 30 = 180 ( subtract 30 from both sides )

10x = 150 ( divide both sides by 10 )

x = 15

Then

∠ VQS = 8x + 15 = 8(15) + 15 = 120 + 15 = 135°

∠ SQT = 2x + 15 = 2(15) + 15 = 30 + 15 = 45°