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User Rhyek
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1 Answer

9 votes

Answer:

x = 45°

y = 90°

Explanation:

Angles in a Triangle

The sum of the internal angles in a triangle is 180°.

On the other hand, the tick marks on the triangle tell us it's an isosceles triangle, thus the angle formed at both sides of the triangle is x.

Finally, angle x and 135° are a linear pair that always add up to 180°, thus

x = 180 - 135 = 45

x = 45°

The angle y can be found by completing the measure needed to 180°:

x + x + y = 180

y = 180 - 2x = 180 - 90

y = 90°

User Ujjwal
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