Question

1. find the measure of ∠2. 111° 3 2 111° 69° 21°

Explanation:

Step1: Identify the figure

The figure is a trapezoid with one - pair of parallel sides (indicated by the red arrows). The two non - parallel sides are equal (indicated by the single tick marks).

Step2: Use the property of trapezoid

In an isosceles trapezoid, base angles are equal. The angle adjacent to the $111^{\circ}$ angle and $\angle2$ are base - angles of the isosceles trapezoid. Adjacent angles along a non - parallel side of a trapezoid are supplementary (sum to $180^{\circ}$). Let the angle adjacent to the $111^{\circ}$ angle be $\angle x$. Then $\angle x=180^{\circ}- 111^{\circ}=69^{\circ}$. Since base angles of an isosceles trapezoid are equal, $\angle2 = \angle x$.

Answer:

$69^{\circ}$