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Chapter 3: Q15. (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.

鈥�鈭�AHG.

Short Answer

Expert verified

The angle 鈭�AHG is 90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�鈯�GH炉

AH鈫�鈯�GH炉

Two perpendicular lines make an angle of 90掳.

Hence the angle鈭�AHG=90掳.

03

Step 3. State the conclusion.

Therefore, 鈭�AHG=90掳.

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