SOLUTION: What is the value of x if you have an isoceles triangle with one angle having a value of x+3 degrees and the base angles having a value of 2x

SOLUTION: What is the value of x if you have an isoceles triangle with one angle having a value of x+3 degrees and the base angles having a value of 2x - 2 degrees?

Question 244931: What is the value of x if you have an isoceles triangle with one angle having a value of x+3 degrees and the base angles having a value of 2x - 2 degrees?

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
sum of the angles of a triangle is 180 degrees.

one angle is x+3 degrees.

2 angles are 2x-2 degrees each.

sum of the angles of the triangle equals

x + 3 + 2 * (2x - 2) equals:

x + 3 + 4x - 4 equals:

5x - 1

this sum equals 180 degrees so:

5x - 1 = 180

add 1 to both sides to get 5x = 181

divide both sides by 5 to get x = 181/5 = 36.2 degrees

substitute in original equation to see if this is true.

x + 3 + 2 * (2x - 2) = 180 becomes:

36.2 + 3 + 2*(72.4-2) = 180 becomes:

36.2 + 3 + 2*70.4 = 180

simplify to get:

36.2 + 3 + 140.8 = 180

simplify further to getg:

180 = 180 which is true confirming that x = 36.2 is a good answer.

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