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Chapter 3: Q16. (page 114)

In the diagram AB鈫�bisects鈭�DHF, AB鈫�鈯�GH炉, AB鈫�鈭�CD鈫�, and m鈭�AHD=60掳. Find the measure of each angle.

鈭�FHG.

Short Answer

Expert verified

The angle鈭�FHG is 30掳.

Step by step solution

01

Step 1. Observe the diagram.

Here, 鈭�AHD=60掳, AB鈫�鈯�GH炉, AB鈫�鈭�CD鈫� and AB鈫� bisects 鈭�DHF .

02

Step 2. Show the calculation.

From the figure,

AB鈫�bisects 鈭�DHF

鈭�AHD=鈭�AHF=60掳

鈭�AHG=鈭�AHF+鈭�FHG

role="math" localid="1649221456166" 90掳=60掳+鈭�FHG

鈭�FHG=30掳

Hence the angle 鈭�FHG=30掳.

03

Step 3. State the conclusion.

Therefore, 鈭�FHG=30掳.

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Most popular questions from this chapter

Name the two lines and the transversal that form each pair of angles.

and

Use two lines of notebook paper as parallel lines and draw any

transversal. Use a protractor to measure

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Complete each statement with the word always, sometimes, or never.

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Exercises 23-29 refer to the diagram in step 2 of exercise 22.

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