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Chapter 3: Q18. CUR (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�BHCis60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� andAB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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