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Chapter 4: Q1. WE (page 137)

For the following figure, find the value of x.

Short Answer

Expert verified

The value ofx=80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�BAC=x.

鈭�ABC=鈭�ACB=50鈭�

Therefore, find the value of xas follows:

鈭�ABC+鈭�ACB+鈭�BAC=180鈭�50鈭�+50鈭�+x=180鈭�x=180鈭�鈭�100鈭�x=80鈭�

Therefore, the value of x=80鈭�.

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