SOLUTION: Hello, I could really use some help solving this word problem I have on my homework. The word problem is: "In triangle XYZ, angles X and Y have the same measure. The sum of the

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Question 665186: Hello,
I could really use some help solving this word problem I have on my homework. The word problem is:
"In triangle XYZ, angles X and Y have the same measure. The sum of the measure of angles Y and Z is 100°. How many degrees are there in each of the three angles?"
So far, I have written down that
X = Y
and
Y + Z = 100°. I know that all the angles in a triangle add up to 180° so I know that my equation will = 180°.
I'm having trouble coming up with an equation to solve this problem. Once I get that, I can finish the rest of the poem easily.
Thank you for your help in advance!

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

given:
angles and have the same measure;...=>
The sum of the measure of angles and is °...=>

the sum of all angles in a triangle is:
...since and , we have



we know that , so too
now find











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