Question

If the m∠SRW = 85°, what are the measures of ∠VRU and ∠URW?

Answer 1

∠VRU = 80°

∠URW = 15°

Explanation:

Given that,

∠TRV = ∠SRW ( vertical opposite angle)

2x + 15 = 85

2x = 70

x = 35

So,

∠VRU = 2x + 10

∠VRU = (2×35) + 10

∠VRU = 70 + 10

∠VRU = 80°

∠URW = 180 - ∠VRU - ∠SRW

∠URW = 180 - 85 - 80

∠URW = 15°