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Quick Math problem okay ​

Quick Math problem okay ​-example-1
User TimFoolery
by
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1 Answer

6 votes

Answer:

See below.

Explanation:

For this problem, we are asked to find m∠Y.

We can't identify m∠Y yet, we have to solve for x.

We should know that this triangle has both legs equal to each other, meaning that it's an isosceles triangle. Because it's isosceles, the 2 angles are equal.

Set the angles equal to each other;


5x+6=8x-15

Subtract 6 from both sides;


5x=8x-21

Subtract 8x from both sides;


-3x=-21\\x=7

Substitute 7 back into the 2 angles.


5(7)+6=41\\8(7)-15=41

We should know that a triangles' angles add up to 180°. By subtracting the 2 angles' values from 180°, we can find m∠Y.


180-41-41=98

Our final answer is C. m∠Y = 98°

User Ginman
by
7.2k points