# Algebra

What is the number of degrees in the measure of the larger of two supplementary angles if the ratio of their measures is 4:5?

1. 👍
2. 👎
3. 👁
1. 4x + 5x = 180
9x = 180
x = 20
substituting,
4x = 4*20 = 80 degrees
5x = 5*20 = 100 degrees

hope this helps~ :)

1. 👍
2. 👎

## Similar Questions

1. ### Math

Four of the angles of a pentagon measure 85 degrees, 110 degrees, 135 degrees, and 95 degrees. Find the measure of the missing angle. A. 115 degrees B. 95 degrees C. 135 degrees D. 85 degrees Is the answer D?

2. ### Geometry

Three interior angles of a convex heptagon measure 125 degrees, and two of the interior angles measure 143 degrees. Which are possible measures for the other two interior angles of the heptagon? 1: 48 and 48 degrees 2: 39 and 100

3. ### geometry

Two lines intersect at a point. The vertical angles formed are supplementary. What is the measure of each of the angles? So my question is if both angle 1 and 2 must equal 90 degrees each? Im wondering because I know that angle 1

4. ### Algebra

I have a pair of supplementary angles, the measure of one angle is 8 times the measure of the other. What is the measure of the larger angle? What is the measure of the smaller angle?

1. ### 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

2. ### Trignometry

If two angles are supplementary, then their sines are equal. Explain why. What about the cosines of supplementary angles? If you are not sure, calculate some examples.

3. ### math

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

4. ### Math

Two angles are supplementary. The measure of one is 30 more than twice the measure of the other. Find the measure of the larger angle.......... Please help ! I need this answer!

1. ### 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

2. ### geometry

The supplementary angles are supplementary angles. Determine the measures of angle 1 and angle 2. angle 2=x angle 1 = 5x+6 This is what i came up with.

3. ### Can I get some help on my math plz?

The intersection of roads S and T creates a 44.4 degree angle. What are the complementary and supplementary angles of this intersection? A. The comp. angle is 22.2 degrees and the supp. angle is 55.6 degrees. B. The comp. angle is

4. ### Math

Find the measures of two supplementary angles if the difference of their measures is 56 degrees I know supplementary angles are the sum of the measure if two angles is 180 degrees but then what is the question asking?