Answer
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°.
