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Chapter 3: Q9 (page 96)

Find the value of

Short Answer

Expert verified

The value of x=900.

Step by step solution

01

Step 1. State the concept used

In the figure given, 鈭�A=50掳and 鈭�C=40掳. And angles 鈭�A,鈭�Band 鈭�Care all interior angles.

And note that in a triangle, sum of all interior angles is 180掳.

Therefore, in the given triangle, 鈭�A+鈭�B+鈭�C=180掳.

02

Step 2. Proceed by substitution

Substitute the values of 50掳for 鈭�Aand 40掳for 鈭�Cinto 鈭�A+鈭�B+鈭�C=180掳and simplify.

50掳+鈭�B+40掳=180掳鈭�B+90掳=180掳鈭�B=90掳

03

Step 3. Solve for x degree

In the given figure, 鈭�Band x掳form linear pair, that is.,鈭�B+x掳=180掳.

Substitute 90掳for 鈭�Binto 鈭�B+x掳=180掳and simplify.

90掳+x掳鈭�90掳=180掳鈭�90掳

role="math" localid="1638168302151" x=90掳

Therefore,x=90掳

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