Answer:
m<VRU = 80°
m<URW = 15°
Step-by-step explanation:
<SRW and <VRT are vertical opposite angles. Vertical opposite angles are equal. Therefore:
[tex] 2x + 15 = 85 [/tex]
Use this expression to solve for the value of x
[tex] 2x + 15 - 15 = 85 - 15 [/tex]
[tex] 2x = 70 [/tex]
[tex] \frac{2x}{2} = \frac{70}{2} [/tex]
[tex] x = 35 [/tex]
Find m<VRU by plugging in the value of x in the expression for its angle given.
m<VRU = [tex] 2x + 10 [tex]
[tex] 2(35) + 10 = 70 + 10 = 80 [tex]
m<VRU = 80°
FIND m<URW.
m<URW = 180° - (m<VRU + m<SRW) (angles on a straight line is 180°)
m<URW = 180 - (80 + 85)
= 180 - 165
m<URW = 15°
