# math

posted by .

The measure of one angle is 15 degrees more than half the measure of its complement. Find the measure of the two angles.

• math -

A = Compliment = X Deg.
B = (X/2 + 15) Deg.

The sum of complimentary angles = 90 Deg.
X + (X/2+15) = 90 Deg.
Multiply both sides by 2:
2x + x + 30 = 180.
3x = 180 - 30 = 150.

X = 150 / 3 = 50 Deg.
x/2 + 15 = 50/2 + 15 = 40 Deg.

## Similar Questions

1. ### algrbra

Complimentary angles add up to 90º So translate the English into Math. if you let the unknown angle be x then "the measure of the compliment of the angle" -----> 90-x "10 degrees less than three times the measure of the angle" …
2. ### algebra.

problems about angles: Hi. I needed help on some problems for the math section that we are doing in class. I am trying out some problems in my math book, but they prove quite difficult. 1. In a certain parallelogram, if the measure …
3. ### math-algebra-angles

The degree measures of two angles of a triangle are consecutive even integers. If the measure of the third angle is 50 degrees more than twice the measure of the least angle. Find the measure of each angle.
4. ### Algebra

two angles are complimentary. The sum of the measure of the first angle and half the second angle is 75 degrees. Find the measure of the angles. What is the measure of the smaller angle?

1) Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measure of the angles. 2) If a supplement of an angle has a measure 78 less than the measure of the angle, what …
6. ### algebra

Two angles are complementary. The sum of the measure of the first angle and half the second angle is 68 degrees. Find the measures of the angles: What is the measure of the smaller angle?
7. ### algebra

two angles are complementary. the sum of the measure of the first angle and half the second angle is 87 degrees. find the measure of the angles. What is the measure of the smaller angle?
8. ### Math

Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 87.75 degrees. Find the measures of the angles?
9. ### math

I posted this early, I don't understand, Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 87.75 degrees. Find the measures of the angles?
10. ### algebra 101

If The sum of the measures of two complementary angles is 90° and If one angle measures 15° more than twice the measure of its complement, find the measure of each angle. What is The measure of one angle is 1 times the measure of …

More Similar Questions