<LMN and <UVW are complementary. Find the measure of each angle if m<LMN = (3x+5)° and m<UVW = 2x°
Complimentary angles add to 90 degrees.
so (3x+5) + 2x = 90 solve for 'x'
3x + 5 + 2x = 90
5x + 5 = 90
5x + 5 - 5 = 90 - 5
5x = 85
x = 17 LMN = (3x+5) = 3(17)+5 = 56 UVW = 2x = 2(17)= 34 34 + 56 = 90 Yea!