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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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