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Chapter 2: Q10. (page 58)

In the diagram,BE鈫�鈯�AC鈫� and BD鈫�鈯�BF鈫�. Find the value of x.

m鈭�DBE=3x,m鈭�EBF=4x鈭�1

Short Answer

Expert verified

The number 13 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掳 if they are added because these angles are parts of 鈭�DBF that represent itself as a right angle.

02

Step 2. Make an equation by using the observation.

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

鈭�DBE+鈭�DBF=90掳

03

Step 3. Determine the value of x.

Substitute the provided value of鈭�DBE and 鈭�EBF into the obtained equation and solve for x.

3x+4x鈭�1=90掳7x鈭�1=90掳7x=91掳x=911x=13掳

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Most popular questions from this chapter

Justify each step.

15y+7=12鈭�20y

35y+7=12

35y=5

y=17

Provide a counterexample to show that each statement is false.

Statement: If a four-sided figure has four right angles, then it has four congruent sides.

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

m鈭�1+m鈭�2=m鈭�BAC

Justify each statement with a property from algebra or property of congruence 鈭�P鈮�鈭�P.

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

m鈭�AEB+m鈭�BEF=180
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