Question

If the measure of angle SRW is 85°, what are the measures of angle VRU and angle URW?

1) m∠vru = _____°
2) m∠urw = _____°

Answer 1

The measure of m∠VRU and m∠URW are 80 and 15 degrees respectively.

Step-by-step explanation:

From the given diagram; m∠SRW = m∠TRV

Given the following:

m∠SRW = 85

m∠TRV = 2x + 15

Equating both expressions

2x + 15 = 85

2x = 70

x = 70/2

x = 35

Get m∠VRU

m∠VRU = 2x + 10

m∠VRU = 2(35) + 10

m∠VRU = 80degrees

Get m∠URW:

m∠URW = 180 - (85+80)

m∠URW = 180 - 165

m∠URW = 15degrees

Hence the measure of m∠VRU and m∠URW are 80 and 15 degrees respectively.