The measure of each angle is 74°, 74°, and 32°.
Work Step by Step
The sum of the measures of the angles of a triangle is 180°. In the triangle below, angle C has the same measure as angle B, and angle A measures 42° less than angle B. Find the measure of each angle. Let angles B and C be x, and angle A be y. $y=x-42$ $2x+y=180$ $2x+(x-42)=180$ $3x=222$ $x=74°$ $2*74+y=180$ $148+y=180$ $y=32°$ Hence, the measure of each angle is 74°, 74°, and 32°.