Question

Statement ∠T and ∠S are complementary ∠S and ∠U are complementary m∠T+m∠S=90 m∠S+m∠U=90 m∠T+m∠S=m∠S+m∠U m∠U=m∠T ∠U≅∠T

Answer 1

See Explanation

Explanation:

According to the Question,

• Given That, ∠T and ∠S are complementary & ∠S and ∠U are complementary

Thus, m∠T + m∠S = 90 ------ Equation 1

& m∠S + m∠U = 90 ------- Equation 2

• Now, Subtract Equation 2 From Equation 1, we get

m∠T - m∠U = 0

Thus, m∠T = m∠U

The measure of angle T is equal to angle U.(∠U≅∠T).