Question

if ∠tuv and ∠pqr are a linear pair, and m∠tuv is equal to 88°, then what is m∠pqr? m∠pqr = ?°

Explanation:

Step1: Recall linear - pair property

The sum of angles in a linear pair is 180°. So, \(m\angle TUV + m\angle PQR=180^{\circ}\).

Step2: Solve for \(m\angle PQR\)

We know \(m\angle TUV = 88^{\circ}\). Then \(m\angle PQR=180^{\circ}-m\angle TUV\). Substitute \(m\angle TUV = 88^{\circ}\) into the equation: \(m\angle PQR = 180 - 88\).

Answer:

92