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Question:
What is the measure of y in degrees
Answer:
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.
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 .
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