SOLUTION: How did you get 4x? "Two angles of a triangle have equal measures, but the third angle's measure is 36� less than the sum of the other two. Find the measure of each angle of the

Question 468383: How did you get 4x?
"Two angles of a triangle have equal measures, but the third angle's measure is 36� less than the sum of the other two. Find the measure of each angle of the triangle."
Theo: "Draw a triangle and label is ABC.
Let angle A = x
let angle B = x
let angle C = 2x - 36
2x - 36 means that angle C is 36 degrees less than the sum of angle A and B.
Since the sum of the interior angles of a triangle is 180 degrees, then 2x + 2x - 36 = 180.
combine like terms in that equation and you get 4x - 36 = 180
add 36 to both sides of that equation and you get 4x = 216
divide both sides of that equation by 4 and you get x = 54 degrees
angle A = 54 degrees
angle B = 54 degrees
angle C = 108 - 36 = 72 degrees
54 + 54 + 72 = 108 + 72 = 180 degrees so the angles are good because they add up to 180 degrees and the third angle is 36 degrees less than the sum of the other 2."
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
How did you get 4x?
By adding x+x+(2x-36)
=4x-36
.
Ed
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