SOLUTION: The sum of the interior angle measures of a triangle is 180 degrees. Angle B is 3 times the measure of angle A. Angle c is 52 degrees. Write a simplified equation and find the meas

Algebra ->  Equations -> SOLUTION: The sum of the interior angle measures of a triangle is 180 degrees. Angle B is 3 times the measure of angle A. Angle c is 52 degrees. Write a simplified equation and find the meas      Log On


   

Question 1116759: The sum of the interior angle measures of a triangle is 180 degrees. Angle B is 3 times the measure of angle A. Angle c is 52 degrees. Write a simplified equation and find the measure of Angle B.
180-52/4 * 3=x
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, measure of angle A.

3x, measure of angle B.

Measure of angle C is 52 degrees.
(Not angle c.)


x%2B3x%2B52=180
-
4x=180-52

x=%28180-52%29%2F4
You can compute this.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The sum of the interior angle measures of a triangle is 180 degrees. Angle B is 3 times the measure of angle A. Angle c is 52 degrees. Write a simplified equation and find the measure of Angle B.
180-52/4 * 3=x
Let ∡B be B

Then ∡A is matrix%281%2C5%2C+%281%2F3%29%2C+%22%2A%22%2C+%22B%2C%22%2C+or%2C+B%2F3%29

With ᩑ being 52o, we get: matrix%281%2C3%2C+B+%2B+B%2F3+%2B+52%2C+%22=%22%2C+180%29



3B + B = 384 ------ Multiplying by LCD, 3

4B = 384