Question

Construct angle of 135º. Write the steps. Also construct its bisector. Measure it.
​

Answer 1

Question:-

• Construct angle of 135º. Write the steps. Also construct its bisector. Measure it.

Solution:-

The steps of construction are as follows:-

• Draw a line PQ and take a point O on it.

• Taking O as the centre and convenient radius, mark an arc, which intersects PQ at A and B.

• Taking A and B as centres and radius more than half of AB, draw two arcs intersecting each other at R.

• Join OR. Thus, ∠QOR = ∠POQ = 90 .

• Draw OD the bisector of ∠POR. Thus, ∠QOD is the required angle of 135.

• Now, draw OE as the bisector of ∠QOD=1/2 of 135=67.5

$| \tt \purple {hence \: \:the \: \: bisector \: \: of \: \: ∠QOD \: \:}|$

$\tt \purple{ ∠QOD=1/2 \: \: of \: \: \: 135=67.5}$

Answer 2

Question:-

• Construct angle of 135º. Write the steps. Also construct its bisector. Measure it.

Solution:-

The steps of construction are as follows:-

• Draw a line PQ and take a point O on it.

• Taking O as the centre and convenient radius, mark an arc, which intersects PQ at A and B.

• Taking A and B as centres and radius more than half of AB, draw two arcs intersecting each other at R.

• Join OR. Thus, ∠QOR = ∠POQ = 90 .

• Draw OD the bisector of ∠POR. Thus, ∠QOD is the required angle of 135.

• Now, draw OE as the bisector of ∠QOD=1/2 of 135=67.5

$| \tt \purple {hence \: \:the \: \: bisector \: \: of \: \: ∠QOD \: \:}|$

$\tt \purple{ ∠QOD=1/2 \: \: of \: \: \: 135=67.5}$