Question

find the measures of the numbered angles in the isosceles trapezoid.
m∠1= 49°
m∠2=□°

Explanation:

Step1: Identify base angles property

In an isosceles trapezoid, base angles are equal. So $m\angle1 = 49^\circ$.

Step2: Use consecutive angles property

Consecutive angles between bases are supplementary. $m\angle2 + 49^\circ = 180^\circ$.

Step3: Calculate $m\angle2$

$m\angle2 = 180^\circ - 49^\circ = 131^\circ$.

Answer:

131