triangle measure

[breezemjr]

In triangle XYZ, XY is congruent to YZ. If the measure of angle X=52, find the measure of angle Y.


My end result was 64. It was marked incorrect. Help me step by step this to find correct answer please.

 

[soroban]

Hello, breezemjr!

Did you make a sketch?

$\displaystyle \text{In triangle }XYZ,\:XY \,=\,YZ.$
$\displaystyle \text{If }\angle X = 52^o,\,\text{ find the measure of }\angle Y.$

              Y
              *
             / \
            /   \
           /     \
          /       \
         /         \
        /           \
       / 52d         \
    X * - - - - - - - * Z

Since the triangle is isosceles, $\displaystyle \angle Z = \angle X = 52^o.$

Therefore, $\displaystyle \angle Y \,=\,\_\_$

 

[breezemjr]

thank you for explaining it to me. Now I might be able to assist my children and charges. Much obliged. Have a great day.

 

[breezemjr]

oh and is 76 correct?