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Chapter 2: Q12. (page 58)

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

m鈭�ABD=6x, m鈭�DBE=3x+9, m鈭�EBF=4x+18, m鈭�FBC=4x

Short Answer

Expert verified

The number 9 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 first two given angles are having the measurement of 90写 if they are added because these angles are parts of 鈭�ABE that represent itself as a right angle.

02

Step 2. Make an equation by using the observation.

As the first two 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�ABD+鈭�DBE=90掳

03

Step 3. Determine the value of x

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

6x+3x+9=90掳9x+9=90掳9x=81掳x=819x=9

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Most popular questions from this chapter

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

If E is the midpoint of AF炉, then EC炉, bisects AF炉 .

Copy everything shown and supply missing statements and reasons.

Given:

m鈭�1=m鈭�3;

m鈭�2=m鈭�4

Prove: m鈭�ABC=m鈭�DEF

Proof:

Copy everything shown and supply missing statements and reasons.

Given: DW=ON

Prove: DO=WN

Proof:

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

If 鈭�1鈮�鈭�2, then AD鈫� is the bisector of 鈭�BAC.

State the hypothesis and the conclusion of each conditional.

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