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 the property of linear pair

A linear pair of angles sums to \(180^{\circ}\). So \(m\angle TUV + m\angle PQR=180^{\circ}\).

Step2: Substitute the given value

Given \(m\angle TUV = 88^{\circ}\), then \(88^{\circ}+m\angle PQR = 180^{\circ}\).

Step3: Solve for \(m\angle PQR\)

\(m\angle PQR=180^{\circ}- 88^{\circ}\).
\(m\angle PQR = 92^{\circ}\)

Answer:

\(92\)