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Chapter 1: Q. 29 WE (page 22)

AL鈫�bisects 鈭�KAT. Find the value ofx.

m鈭�3=6x,m鈭�KAT=90鈭�x

Short Answer

Expert verified

The value ofxis 18o.

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, sinceSAT is a straight line, therefore,

m鈭�3+m鈭�KAT=180掳

03

- Calculate x.

In order to calculate the value of x, substitute 6xfor m鈭�3and 90鈭�xfor m鈭�KATinto the equation m鈭�3+m鈭�KAT=180掳and simplify.

6x+90掳鈭�x=180掳5x+90掳=180掳

Subtract 90掳from both sides.

5x+90掳鈭�90掳=180掳鈭�90掳5x=90掳x=90掳5x=18掳

Therefore, x=18掳.

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