Question

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

m∠1 = 61°
m∠2 = 119°
m∠3 = 61°

Explanation:

Step1: Base angles of isosceles trapezoid are equal

$m\angle1 = 61^\circ$

Step2: Consecutive angles are supplementary

$m\angle2 = 180^\circ - 61^\circ = 119^\circ$

Step3: Opposite base angles are equal

$m\angle3 = 61^\circ$

Answer:

$m\angle1 = 61^\circ$
$m\angle2 = 119^\circ$
$m\angle3 = 61^\circ$