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Chapter 1: Q. 31 WE (page 22)

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

m鈭�1=5x鈭�12,role="math" localid="1649003773717" m鈭�2=3x+6

Short Answer

Expert verified

The value ofx is 9o.

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 180掳.

02

- Observe the figure

The given figure is

From the figure, sinceAL鈫� bisects 鈭�KAT, therefore, m鈭�1=m鈭�2.

03

- Calculate x.

In order to calculate the value of x, substitute 5x鈭�12for m鈭�1and3x+6 form鈭�2 into the equationm鈭�1=m鈭�2 and simplify.

5x鈭�12=3x+65x鈭�12鈭�3x=3x+6鈭�3x2x鈭�12=62x鈭�12+12=6+122x=182x2=182x=9

Therefore, x=9掳.

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