To construct: The angle equal to the average of measures of

Tabansi

Tabansi

Answered question

2021-08-17

To construct:
The angle equal to the average of measures of A and B.

Answer & Explanation

okomgcae

okomgcae

Skilled2021-08-18Added 93 answers

Construction:
Draw two circles of equal radii with center at A and B name the intersection.
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Draw two circles of equal radii EF with center at F and H name the intersection points.
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Draw a ray BT. Since mTBH=mA and hence mTBH=mB+mA
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Draw two circles of equal radii with center at G and T name teh intersection points.
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Draw a line BI which bisects TBG. The required angle TBG has measure equal to the average of measures of A and B.
image
Conclusion:
Therefore, the angle equal to the average of measures of A and B is TBG and shown in figure

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