Question

find the measures of the numbered angles in the isosceles trapezoid.

m∠1 = 47°
m∠2 = \\(\square\\)°

Explanation:

Step1: Recall isosceles trapezoid property

In an isosceles trapezoid, consecutive angles between the bases are supplementary (sum to $180^\circ$).

Step2: Calculate $m\angle2$

Subtract the given angle from $180^\circ$.
$m\angle2 = 180^\circ - 47^\circ$

Answer:

$m\angle2 = 133^\circ$