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Chapter 1: Q. 30 WE (page 21)

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

m鈭�1=7x+3,m鈭�2=6x+7

Short Answer

Expert verified

The value ofx is 4掳.

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

03

- Calculate x.

In order to calculate the value of x, substitute 7x+3for m鈭�1and 6x+7for m鈭�2into the equation m鈭�1=m鈭�2and simplify.

7x+3=6x+77x+3鈭�6x=6x+7鈭�6xx+3=7x+3鈭�3=7鈭�3x=4

Therefore, x=4掳.

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