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Chapter 2: Q16. (page 59)

In the figure BF鈫�鈯�AE鈫�, m鈭�BOC=x, and m鈭�GOH=y. Express the measure of the angle in terms of x, y, or both.

鈭�HOF

Short Answer

Expert verified

The required value of the provided angle isx+y掳.

Step by step solution

01

Step 1. Observe the given statement and figure.

The provided angle consists of two angles which are鈭�GOF and鈭�HOG where the鈭�GOF is present in vertical opposite side of鈭�BOC.

02

Step 2. Make an equation.

Using the observation make an equation.

鈭�HOF=鈭�GOF+鈭�HOG

03

Step 3. Determine the required value.

As the 鈭�GOFis present in the vertical opposite side of 鈭�BOCwhich means that 鈭�GOFcan be replaced with 鈭�BOCby substituting the value of 鈭�BOCand 鈭�HOGinto the obtained equation, determine the value of the provided angle.

鈭�HOF=x+y掳

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Most popular questions from this chapter

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

m鈭�AEB+m鈭�BEC=m鈭�AEC

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

If D is the midpoint of BC炉, then BD炉鈮�DC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:

State the number that is paired with the bisector of 鈭�CDE.

Copy everything shown and write a two-column proof.

Given:m鈭�1=m鈭�2;

m鈭�3=m鈭�4;

Prove:m鈭�SRT=m鈭�STR
See all solutions

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