in triangle ABC the measure of angle A is 2x + 3, the measure of angle B is 4x + 2, and the measure of angle C is 2x - 1. What are the measures of the angles?
The three interior angles of any triangle sum to 180 degrees...so we have....
[2x + 3 ]+ [4x + 2] + [2x - 1] = 180 simplify
8x + 4 = 180 subtract 4 from both sides
8x = 176 divide both sides by 8
x = 22
[ 2(22) + 3 ] = 47 degrees = A
[4(22) + 2 ] = 90 degrees = B
[2(22) - 1] = 43 degrees = C