Question

Can someone show me how to get the answer to this?

Answer 1

Angle V is 56 degrees

Explanation:

3 angles in a triangle = 180

Angle U plus the shown angle QUV (154) add to 180 bc they make a straight line.

So Angle U =180-154 = 26

Angle U + Angle V + Angle W = 180

26 + 6x + 2 + 10x + 8 = 180

Combine like terms

36 + 16x = 180

16x = 144

x = 144/16 = 9

Substitute x = 9 into 6x + 2

6(9) + 2 = 54 + 2 = 56

Angle V is 56 degrees