Question

if $\angle tuv$ and $\angle pqr$ are complementary, and $m\angle tuv$ is equal to $63^\circ$, then what is $m\angle pqr$?
$m\angle pqr = ?^\circ$

Explanation:

Step1: Recall complementary angles definition

Complementary angles sum to \(90^\circ\). So \(m\angle TUV + m\angle PQR = 90^\circ\).

Step2: Substitute known angle measure

We know \(m\angle TUV = 63^\circ\), so substitute into the equation: \(63^\circ + m\angle PQR = 90^\circ\).

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

Subtract \(63^\circ\) from both sides: \(m\angle PQR = 90^\circ - 63^\circ = 27^\circ\).

Answer:

\(27\)