Question

<LMN and <UVW are complementary. Find the measure of each angle if m <LMN = (3x+5)° and m <UVW = 2x°

Answer 1

$2x + 3x + 5 = 180 \\ 5x + 5 = 180 \\ 5x + 5 - 5 = 180 - 5 \\ 5x = 175 \\ x = 35$
$lmn = 3x + 5 = 3(35) + 5 = 110 \\ uvw = 2x = 2(35) = 70$