if ∠tuv and ∠pqr are a linear pair, and m∠tuv is equal to 88°, then what is m∠pqr? m∠pqr = ?°
if ∠tuv and ∠pqr are a linear pair, and m∠tuv is equal to 88°, then what is m∠pqr? m∠pqr = ?°
Answer
Explanation:
Step1: Recall the property of linear pair
A linear pair of angles is supplementary, i.e., their sum is (180^{\circ}). So, (m\angle TUV + m\angle PQR=180^{\circ}).
Step2: Substitute the given value
Given (m\angle TUV = 88^{\circ}), substitute into the equation: (88^{\circ}+m\angle PQR = 180^{\circ}).
Step3: Solve for (m\angle PQR)
Subtract (88^{\circ}) from both sides: (m\angle PQR=180^{\circ}- 88^{\circ}). [m\angle PQR = 92^{\circ}]
Answer:
(92)