Question

MZTRI = 3x - 5, mZIRB = x + 27,
and mZTRB = 86. Find the mZTRI.

Answer 1

m∠TRI = 43

Explanation:

m∠TRI + m∠IRB = m∠TRB

3x - 5 + x + 27 = 86

3x + x - 5 + 27 = 86 {Combine like terms}

4x + 22 = 86 {Subtract 22 from both sides}

4x = 86 - 22

4x = 64 {Divide both sides by 4}

x = 64/4

x = 16

m∠TRI = 3x - 5

= 3*16 - 5

= 48 - 5

= 43