Question

I need help with 5-6 PLEASEEEE!! Also please excuse the answers cause I know it’s wrong

Answer 1

Step-by-step explanation:

5.

angle STQ is the supplementary angle (together they are 180° below line MQ) to 2x + 8.

above ST we have a group of 3 angles that combine to 180° :

2x + 8

90°

71 - x

so, to get x first :

2x + 8 + 90 + 71 - x = 180

x + 169 = 180

x = 11

so, the angle MTS =

2x + 8 = 2×11 + 8 = 22 + 8 = 30°.

6.

therefore, the angle STQ is

180 - angle MTS = 180 - 30 = 150°.