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Chapter 3: Q18. (page 114)

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

鈭�BHC.

Short Answer

Expert verified

The angle鈭�BHC is 60鈭�.

Step by step solution

01

Step 1. Observe the diagram.

Here, 鈭�AHD=60鈭�, 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 and the data,

鈭�BHCand 鈭�AHFare vertical angles and they are congruent.

鈭�AHF=鈭�AHD=60鈭�

Since, AB鈫�bisects 鈭�DHF.

Hence the angle 鈭�BHC=60鈭�.

03

Step 3. State the conclusion.

Therefore, 鈭�BHC=60鈭�.

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