Answer:
Step-by-step explanation:
We know that:
- ∠T = ∠R
- ∠U = ∠S
- ∠U = 23x + 1
- ∠T = 37x - 1
- ∠R + ∠T + ∠S + ∠U = 360
Solution:
- ∠R + ∠T + ∠S + ∠U = 360
- => 37x - 1 + 37x - 1 + 23x + 1 + 23x + 1 = 360
- => 74x - 2 + 46x + 2 = 360
- => 120x = 360
- => x = 3
- => ∠T = 37(3) - 1
- => ∠T = 111 - 1
- => ∠T = 110
Hence, the measure of ∠T is 110°.
