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Chapter 2: Q9. (page 58)

In the diagram,BE→⊥AC↔ and BD→⊥BF→. Find the value of x.

m∠ABD=2x−15, m∠DBE=x.

Short Answer

Expert verified

The number 35 represents the required value that is for x.

Step by step solution

01

Step 1. Observe the given statement and figure.

The provided information and figure indicate that the given angles are having the measurement of 90° if they are added because these angles are parts of ∠ABE that represent themselves as a right angle.

02

Step 2. Make an equation by using the observation.

As the given angles are having a measurement of 90° if they are added so these angles fall in the category of complementary angles. Make an equation that represents these angles.

∠ABD+∠DBE=90°

03

Step 3. Determine the value of x

Substitute the provided value of∠ABD and ∠DBE into the obtained equation and solve for x.

2x−15+x=90°3x−15=90°3x=105°x=1053x=35°

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Most popular questions from this chapter

State which definition, postulate, or theorem justifies the statement about the diagram.

If BD¯≅DC¯, then D is the midpoint of BC¯.

Justify each step.

3a2=653a=125a=45

State the hypothesis and the conclusion of each conditional.

I can’t sleep if I’m not tired.

Rewrite each pair of conditionals as a biconditional.

If B is between A and C, then .

If , then B is between A and C.

State the hypothesis and the conclusion of each conditional.

If , then.
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