Question

TSRU is a parallelogram. What is angle T?

Answer 1

• ∠T = 110

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°.