Question

find the measures of the numbered angles in the isosceles trapezoid.
m∠1 = 49°
m∠2 = 131°
m∠3 = \square°

Explanation:

Step1: Identify base angles of isosceles trapezoid

In an isosceles trapezoid, base angles are equal. The given angle (49°) and ∠1 are base angles, so m∠1 = 49°.

Step2: Use consecutive angles property

Consecutive angles between parallel bases are supplementary. ∠1 and ∠2 are consecutive, so m∠2 = 180° - 49° = 131°.

Step3: Find ∠3 using base angle equality

∠2 and ∠3 are the other pair of base angles, so they are equal. Thus, m∠3 = m∠2 = 131°.

Answer:

131