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If each angle of 90° is to be bisected then the measure of each  angle is 

A) 60° 

B) 70° 

C) 80° 

D) 45°

2 Answers

+1 vote
by (56.9k points)
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Best answer

Correct option is (D) 45°

If an angle of \(90^\circ\) is to be bisected.

Then each obtained angles \(=\frac{90^\circ}2=45^\circ.\)

Alternative :- Let angles x & y are angles which is obtained by bisecting an angle of \(90^\circ.\)

\(\therefore\) x = y and x+y = \(90^\circ.\)  \((\because\) Both angles obtained by bisecting an angle of \(90^\circ)\)

\(\Rightarrow\) 2x = 2y = \(90^\circ\)

\(\Rightarrow\) \(x=y=\) \(\frac{90^\circ}2=45^\circ\)

+1 vote
by (42.4k points)

Correct option is  D) 45°

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