Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
-An isosceles triangle contains two angles of the same measure. If the measure of the third angle is 42° less than the measure of either of the other two identical angles, find the measure of one of the identical angles. (Hint:
The sum of the angles of a triangle is 180°.)
A) 54°
B) 74°
C) 32°
D) 111°

Question

Quizplus · Accepted Answer

Let the measure of the identical angles be x degrees. Since it's an isosceles triangle, there are two angles with measure x. The third angle is x - 42 degrees. The sum of the angles in a triangle is 180 degrees, so we have the equation: x + x + (x - 42) = 180. Solving this equation gives x = 74 degrees.

Let X Represent the Number