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Chapter 4: Q8. WE (page 137)

Find the value of x.

Short Answer

Expert verified

The value ofx is 30°.

Step by step solution

01

Step 1. Name the given figure.

02

Step 2. Description of step.

ConsiderΔABC from the given figure it can be observed that, AB¯≅AC¯. It implies thatΔABC is an isosceles triangle. Therefore,

∠ABC≅∠ACB

03

Step 3. Description of step.

If two lines are intersected by transversal then the angle formed by transversal with respect to two lines are equal.

Here,DE¯||BC¯ which implies that∠ABC=∠BAD and ∠ACB=∠CAE.

Therefore, ∠BAD=∠CAE.

04

Step 4. Description of step.

Substitute 2xfor ∠BADand 90−xfor ∠CAEinto the equation obtained in step 3.

2x=90−x3x=90x=30

Therefore, the value of xis 30°.

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Most popular questions from this chapter

Plot the given points on graph paper. Draw ΔABCand ΔDEF. Copy and complete the statement role="math" localid="1638345245002" ΔABC≅?¯.

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