SOLUTION: The measure of one angle is 24 degrees greater than the measure of its compliment.What are the measures of the angles?

Algebra.Com
Question 648280: The measure of one angle is 24 degrees greater than the measure of its compliment.What are the measures of the angles?
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

complementary angles are angles whose measures sum to °
let's angles be and
so, .....1
given: the measure of one angle is degrees greater than the measure of its compliment
so, ........substitute it in equation 1
.....solve for


...now find





RELATED QUESTIONS

the measure of one angle is 24 degrees greater than the meausre of its complement. What... (answered by cleomenius)
Tmeasure of one angle is 24 degrees greater than the measure of its complement. what are... (answered by mananth)
If the sum of the measures of two angles is 90 degrees, the angles are complementary.... (answered by ikleyn)
Find the measure of an angle and its compliment if one angle measures 24 degrees more... (answered by swincher4391)
An angle measures 43 degrees less than 6 times the measure of its compliment. find the... (answered by mananth)
The measure of one angle is 24 degrees greater than the measure of its complement. What... (answered by cleomenius)
the measure of the angle is 56 degrees greater than its... (answered by rfer)
Use the algebraic equation to find the measure of the two angles described. Begin by... (answered by stanbon)
The measure of one angle is 10° less than one-fourth the measure of its compliment. Find (answered by mananth,ikleyn)