Question

What is the measure of

Answer 1

∠w = 50°

∠y = 130°

Explanation:

Angles ∠w and ∠y are supplementary angles, which means their sum is 180.

4x + 6 + 12x - 2 = 180

• Add like terms

16x + 4 = 180

• Subtract 4 from both sides

16x = 176

• Divide both sides by 16

x = 11

To find the angle measures replace x with 11

∠w = 4x + 6

∠w = 4*11 + 6

∠w = 50°

Now, ∠y

∠y = 12x - 2

∠y = 12*11 - 2

∠y = 130°