Question

by bisecting which of the following angles we can construct an angle of 105 degrees?

OPTIONS-
A) 90 and 105 degrees
B) 90 and 120 degrees
C) 45 and 12 degrees
D) 45 and 150 degrees

Answer 1

Answer:

Answer is D

45 and 150 degrees

Answer 2

By bisecting angles 90 and 120 degrees we can construct an angle of 105 degrees.

To bisect an angle, means that the angle is divided into equal halves.

Assume the angles to bisect are alpha and beta, then the following must be true

$\alpha + \beta = 2\times 105$

Multiply 2 and 105

$\alpha + \beta = 210$

This means that the sum of the angles must be up to 210 degrees.

From the list of given options, only  angles 90 and 120 degrees add up to 210 degrees.

Hence, by bisecting angles 90 and 120 degrees we can construct an angle of 105 degrees.

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