Question

find the measure of angle 1. (the figure is not to scale.) the measure of angle 1 is (simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. In an isosceles triangle (assuming the given triangle is isosceles as two angles are marked as 62°), the two equal - angle measures are 62° each.

Step2: Use the exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Angle 1 is an exterior angle of the triangle, and the two non - adjacent interior angles are 62° and 62°.
So, $\angle1=62^{\circ}+62^{\circ}$

Answer:

124