Question

Two angles are complementary. one angle is 10° less than four times the other angle. find the measures of the angles. what's the smaller and largest angle

Answer 1

The two angles are complementary, meaning the sum of the two angles equals to 90.
Let the degree of the smaller angle be x.
degree of the larger angle be y.
x+y= 90
y= 4x-10
x+4x-10= 90
5x= 100
x= 20
y= 4(20)-10= 70
And: The degree of the smaller and larger angles are 20 and 70 respectively.