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
<pre>Let &#8737B be B
Then &#8737A is {{{matrix(1,5, (1/3), "*", "B,", or, B/3)}}}
With &#6737 being 52<sup>o</sup>, we get: {{{matrix(1,3, B + B/3 + 52, "=", 180)}}}
{{{matrix(1,7, B + B/3, "=", 180 - 52, "======>", B + B/3, "=", 128)}}}
3B + B = 384 ------ Multiplying by LCD, 3
4B = 384
{{{highlight_green(matrix(1,6, Angle, B, "=", 384/4, "=", 96^o))}}}