Questions: Find the measures of the numbered angles in the isosceles trapezoid. m angle 1= m angle 2= m angle 3=

Transcript text: Find the measures of the numbered angles in the isosceles trapezoid. $\mathrm{m} \angle 1=\square$ $\mathrm{m} \angle 2=$ $\square$ $m \angle 3=$ $\square$

Solution

Solution Steps

Step 1: Find m∠1

Since the given figure is an isosceles trapezoid, the base angles are congruent. Therefore, m∠1 = 48°.

Step 2: Find m∠3

Consecutive angles between the parallel sides of a trapezoid are supplementary. Thus, m∠3 + 48° = 180°. Solving for m∠3 gives m∠3 = 180° - 48° = 132°.

Step 3: Find m∠2

Since the trapezoid is isosceles, the two upper angles are congruent. Therefore, m∠2 = m∠3 = 132°.