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Chapter 4: Q2. WE (page 137)

For the following figure, find the value of x.

Short Answer

Expert verified

The value ofx=45鈭�.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Apply the concept of isosceles triangles.

An isosceles triangle is a triangle that has two sides of equal length and two equal angles.

03

Step 3. Find the value.

Since the triangle is isosceles triangles thus AB=ACand 鈭�ABC=90鈭�.

鈭�BAC=鈭�BAC=x鈭�.

Therefore, find the value of xas follows:

鈭�ABC+鈭�ACB+鈭�BAC=180鈭�90鈭�+x+x=180鈭�2x=180鈭�鈭�90鈭�x=45鈭�

Therefore, the value of x=45鈭�.

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