find the m
A. 31
B. 12
C. 74
D. 106
![find the m A 31 B 12 C 74 D 106 class=](https://us-static.z-dn.net/files/de6/e29ead53d7d2369cd62e4ddde9f41514.png)
Answer:
D ∠U=106°
Step-by-step explanation:
∠TRS=∠RTU=31 (corresponding angles)
Since all angles in a triangle add up to 180:
∠TRS+∠RTS+∠RST=180
31+(4x-5)+(7x+22)=180
48+11x=180
11x=132
x=12
∠RST=7x+22=7(12)+22=84+22=106
∠RST=∠U (opposite angles in a rhombus are equal)
∠U=106°