Question

Given m < TUV = 78, find m < WUV

Answer 1

m∠WUV = 23°

Explanation:

m∠TUW and m∠WUV must add up to m∠TUV

Step 1: Set up equation

m∠TUW + m∠WUV = m∠TUV

8x + 7 + 4x - 1 = 78

Step 2: Solve for x

12x + 6 = 78

12x = 72

x = 6

Step 3: Find m∠WUV

m∠WUV = 4x - 1

m∠WUV = 4(6) - 1

m∠WUV = 24 - 1

m∠WUV = 23°