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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, ∠A=50°and ∠C=40°. And angles ∠A,∠Band ∠Care all interior angles.

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

Therefore, in the given triangle, ∠A+∠B+∠C=180°.

02

Step 2. Proceed by substitution

Substitute the values of 50°for ∠Aand 40°for ∠Cinto ∠A+∠B+∠C=180°and simplify.

50°+∠B+40°=180°∠B+90°=180°∠B=90°

03

Step 3. Solve for x degree

In the given figure, ∠Band x°form linear pair, that is.,∠B+x°=180°.

Substitute 90°for ∠Binto ∠B+x°=180°and simplify.

90°+x°−90°=180°−90°

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

Therefore,x=90°

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