# What is the measure of y in degrees

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## Question:

What is the measure of y in degrees The measure of angle Y is and this can be determined by using the properties of an isosceles triangle and also by using the interior angle theorem.

Given :

• XY = 4 units
• YZ = 4 units
• Angle X = 32 degrees

According to the given data, the side length of XY and YZ are equal. So, it can be concluded that the given triangle is an isosceles triangle.

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In an isosceles triangle, two angles are equal. So, in the given triangle angle X and angle Z are equal, that is: So, by using the sum of interior angle theorem it can be said that: 32 + 32 + = 180 = 180 – 64 = So, from the above calculation, it can be said that angle Y is .