SOLUTION: Two angles are complementary. The sum of the measure of the first angle and half of the second angle is 72.5*. Find the measures of the angles.
What is the measure of the smaller
Algebra.Com
Question 158172: Two angles are complementary. The sum of the measure of the first angle and half of the second angle is 72.5*. Find the measures of the angles.
What is the measure of the smaller angle?
What is the measure of the other angle?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Two angles are complementary. The sum of the measure of the first angle and half of the second angle is 72.5*. Find the measures of the angles.
What is the measure of the smaller angle?
What is the measure of the other angle?
.
If two angles are complementary, the sum of the two angles equals 90 degrees.
.
Let x = first angle
then
90-x = second angle
.
From:"The sum of the measure of the first angle and half of the second angle is 72.5" we get our equation:
x + (1/2)(90-x) = 72.5
2x + (90-x) = 145
x + 90 = 145
x = 55 degrees (first angle - other angle)
.
Second angle:
90-x = 90-55 = 35 degrees (second angle-smaller angle)
RELATED QUESTIONS
two angles are complementary. the sum of the measure of the first angle and half the... (answered by lwsshak3)
two angles are complementary. the sum of the measure of the first angle and half the... (answered by stanbon)
Two angles are complementary. The sum of the measure of the first angle and half the... (answered by checkley77)
Two angles are complementary. The sum of the measure of the first angle and half the... (answered by checkley77)
Two angles are complementary. The sum of the measure of the first angle and half the... (answered by checkley77)
Two angles are complementary. The sum of the measure of the first angle and half the... (answered by solver91311)
Two angles are complementary. The sum of the measure of the first angle and half the... (answered by Theo)
Two angles are complementary. The sum of the measure of the first angle and half the... (answered by IWork4Dessert,missrandomgal)
Two angles are complementary, the sum of the measure of the first angle and one forth the (answered by robertb)
Two angles are complementary. The sum of the measures of the first angle and half the... (answered by stanbon)