Question

2 fill in the blank 1 point 2. m∠q = ____ m∠s = ____ t 91° s 27° r m∠q = type your answer... m∠s = type your answer...

Explanation:

Step1: Identify polygon type & sum rule

This is a trapezoid with $QR \parallel TS$, so consecutive interior angles are supplementary.

Step2: Calculate $m\angle Q$

$\angle Q$ and $\angle T$ are supplementary:
$m\angle Q = 180^\circ - m\angle T$
$m\angle Q = 180^\circ - 91^\circ = 89^\circ$

Step3: Calculate $m\angle S$

$\angle S$ and $\angle R$ are supplementary:
$m\angle S = 180^\circ - m\angle R$
$m\angle S = 180^\circ - 27^\circ = 153^\circ$

Answer:

$m\angle Q = 89^\circ$
$m\angle S = 153^\circ$