# Algebra 1

Two angles are complementary. The sum of the measures of the larger angle and three times the measure of the smaller angle is 114. What is the measure of each angle?

1. 👍 0
2. 👎 0
3. 👁 258
1. A + B = 90º (complementary)

Then A = 90º - B

A + 3B = 114º

Substitute 90º-B for e in second equation and solve for B. Insert that value into the first equation and solve for A. Check by inserting both values into the second equation.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Geometry

Is the following definiiton of supplementary reversible? If yes, write it as a true biconditional. Supplementary angles are two angles whose measures sum to 180. a. Yes, if angles are supplementary, the their measures sum to 180.

Is the following definition of complementary angles reversible? If yes, write it as a true biconditional Complementary angles are two angles whose sum measures to 90 degrees - The statement is not reversible - Yes, if angles are

3. ### geometry

Which of the following statements are false? a. vertical angles are congruent b. angles with measures between 0 degrees and 90 degrees are complementary*** c. straight angles are supplementary**** d. angles with measures between

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,

1. ### math

the angles complementary and the smaller angle is 40 degrees less than measure of the larger

2. ### calc

Find x. Supplementary angles with measures 10x+7 and 7x+3. Complementary angles with measures 3x-5 and 6x-40.

3. ### math

Find m∠BAC and m∠DAB in the figure shown below. 1. Line upper D upper C is shown intersecting with line upper E upper B at point upper A. The angle upper E upper A upper D is labeled 80 degrees. A. m∠BAC=80° and

4. ### Math

Two complementary angles have measures of s and t. If t is less than twice s, which system of linear equations can be used to determine the measure of each angle?

1. ### Math

The measure of two complementary angles are 6y+3 and 4y-13. Find the measures of the angles. ( In this question, are they saying 2 different complementary angle? or two angle that make up a complementary? )

2. ### math

The sum of the measures of the angles of any triangle is 180 degrees. In triangle abc, angles a and b have the same measure, while the measure of angle c is 78 degrees larger than each of a and b. What are the measures of the

3. ### math

The ratio of measures of two complementary angles is 4 to 5. The smallest measure is increased by 10%. By what percent must the larger measure be decreased so that the two angles remain complementary?

4. ### Math

Hi! I just want someone to check my answers please! I cannot provide you with any pictures as I have gotten them off of my schools website. You cannot access these pictures because you have to be logged in. 1. Andrea drew triangle