# College Math

In a certain triangle the measure of one angle is triple the measure of a second angle but is 110 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] What is the measure of each angle?

1. 👍 0
2. 👎 0
3. 👁 103
1. just write it algebraically:

b = 3a
b = c-110
a+b+c=180

a + 3a + (110+3a) = 180
7a = 70

a=10
b=30
c=140

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### Algebra

In triangle ABC, the measure of angle B is 8 degrees more than three times the measure of angle A. The measure of angle C is 37 degrees more than the measure of angle A. Find the measure of each angle. What is the measure of angle

asked by Student on February 18, 2014
2. ### cwi

The sum of the measures of the angles of any triangle is 180 degrees. In triangle ABC, the measure of angle A is 70° more than the measure of angle B. The measure of angle B is twice the measure of angle C. Find the measure of

asked by JJd on May 30, 2016
3. ### math

in a triangle, the measure of the first angle is twice the measure of the second.the measure of a third triangle is 64 degrees more than athe measure of the second angle. Use the facts that the sum of the measures of the three

asked by brittany on March 13, 2013
4. ### Geometry

In Triangle XYZ, the measure of angle X is 5/8 as large as the measure of angle Y. If the measure of angle Z is 1/4 as large as the measure of the angle Y, what's the measure of all three angles. I've tried making up numbers to

asked by Anonymous on April 27, 2017
5. ### Geometry

In Triangle XYZ, the measure of angle X is 5/8 as large as the measure of angle Y. If the measure of angle Z is 1/4 as large as the measure of the angle Y, what's the measure of all three angles. I've tried making up numbers to

asked by Anonymous on April 27, 2017
6. ### Geometry

In Triangle XYZ, the measure of angle X is 5/8 as large as the measure of angle Y. If the measure of angle Z is 1/4 as large as the measure of the angle Y, what's the measure of all three angles. I've tried making up numbers to

asked by Anonymous on April 27, 2017
7. ### homework

A trigangular region of a community college parking lot was measured. The measure of the first angle of this triangle is doubled the measure of the second angle. The measure of the third angle is 89 degree greater than double the

asked by Tameka Graves on March 8, 2013
8. ### Geometry

Given: in triangle ABC, angle B= 120 degrees Prove: angle A does not= 60 degrees Plan: use indirect proof Assume temporarily that Measure angle A = 60. Then measure angle C=60, and measure angles A+B+C=180= 60+B+60=180. Therefore

asked by DANIELLE on June 12, 2007
9. ### Algebra II

The measure of the largest angle of a triangle is 90 more than the measure of the smallest angle, and the measure of the remaining angle is 30 more than the measure of the smallest angle. Find the measure of each angle. Show

asked by Monique on June 9, 2014
10. ### Geometry

Writing indirect proofs. Can someone please check for me. I am not sure If this is correct.Thanks much Given: triangle ABC angle B=120 degree Proof: Triangle A does not equal 60 degree Plan: Using an indirect proof, using the

asked by DANIELLE on June 4, 2007

More Similar Questions