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Chapter 1: Q. 32 WE (page 22)

AL鈫�bisects 鈭�KAT. Find the value of x.

m鈭�1=x,m鈭�3=4x

Short Answer

Expert verified

The value ofx is 30o.

Step by step solution

01

- Line bisector and straight angle

If a line bisects angles, it divides it into two equal parts.

Measure of straight angle is 180o.

02

- Observe the figure

The given figure is

From the figure, since AL鈫�bisects 鈭�KAT, therefore, m鈭�1=m鈭�2=x.

Also, 鈭�SATis a straight angel therefore.

m鈭�1+m鈭�2+m鈭�3=180o

03

- Calculate x.

In order to calculate the value of x, substitute xfor m鈭�1, xfor m鈭�2, 4xfor m鈭�3into the equation m鈭�1+m鈭�2+m鈭�3=180oand simplify.

x+x+4x=180o6x=180o6x6=180o6x=30o

Therefore, x=30o.

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