Answer:
m∠1 = m∠2 = 17°
Explanation:
You want to know the measures of the base angles of an isosceles triangle with an a.pex angle of 146°.
Angle sum theorem
The sum of angles in a triangle is 180°. We can use x to represent the measures of each of the two congruent base angles of the isosceles triangle:
x + 146° +x = 180°
2x = 34° . . . . . . subtract 146°
x = 17° . . . . . . . divide by 2
The measures of the angles are ...
m∠1 = m∠2 = 17°