SOLUTION: Angle ABC =68 degrees Measurement of angle 1 and angle 2 within angle ABC ARE EQUAL. I NEED TO FIND THE THE MEASUREMENT OF ANGLE 1. I believe it is 68 divided by 2 making an

Algebra ->  Formulas -> SOLUTION: Angle ABC =68 degrees Measurement of angle 1 and angle 2 within angle ABC ARE EQUAL. I NEED TO FIND THE THE MEASUREMENT OF ANGLE 1. I believe it is 68 divided by 2 making an      Log On


   



Question 943795: Angle ABC =68 degrees
Measurement of angle 1 and angle 2 within angle ABC ARE EQUAL.
I NEED TO FIND THE THE MEASUREMENT OF ANGLE 1. I believe it is 68 divided by 2 making angles 1 and 2 each 34 degree angles. m <1=34 degrees
If this is right how do I express that mathematically?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Angle ABC+=68 degrees
Measurement of angle 1 and angle 2 within angle ABC ARE EQUAL.
let angle 1=alpha and angle 2=beta=> alpha=beta
all that means you are given an isosceles triangle and the sum of all three angles is 180 degrees
so, we have alpha%2Bbeta%2B68=180 ...since alpha=beta, we have
beta%2Bbeta%2B68=180
2beta=180-68
2beta=112
beta=56 and alpha=56