In the following figure- if OQ is angle bisector of -POA- then 2 - -POQ cannot be equal to -

An angle bisector divides an angle into two equal halves. ∴ nbsp;∠POQ nbsp; = ∠QOA = 45 ^∘ 2 × ∠POQ = nbsp; 2 nbsp; × nbsp;45 = 90 ^∘ ∠POQ + ∠QOA = 45 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Construction to Bisect a Given Angle

In the follow...

Question

In the following figure, if OQ is angle bisector of ∠POA, then 2 $\times$ ∠POQ cannot be equal to _____.

∠POA

No worries! We‘ve got your back. Try BYJU‘S free classes today!

^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

∠ POQ + ∠ QOA

No worries! We‘ve got your back. Try BYJU‘S free classes today!

∠QOA

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D ∠QOA
An angle bisector divides an angle into two equal halves.
$∴$ ∠POQ = ∠QOA = $45^{\circ}$
2 $\times$ ∠POQ = 2 $\times$ 45 = $90^{\circ}$
∠POQ + ∠QOA = 45 + 45 = $90^{\circ}$
∠POA = ∠POQ + ∠QOA = 45 + 45 = $90^{\circ}$

Suggest Corrections

Similar questions

Q. In the following figure, if OQ is angle bisector of ∠POA, then 2

\times

∠POQ cannot be equal to _____.

In the following figure, if OQ is angle bisector of $∠$ POA, then $∠$ POQ will be equal to ___.

In the following figure, if OQ is angle bisector of $∠$ POA, then $∠$ POQ will be equal to ___ degree.

In the following figure, if OQ is angle bisector of $∠ P O A$ , then $∠ P O Q$ will be equal to ___ degree.

In the following figure, if OQ is angle bisector of $∠ P O A$ , then $∠ P O Q$ will be equal to ___.

Join BYJU'S Learning Program

In the following figure, if OQ is angle bisector of ∠POA, then 2 × ∠POQ cannot be equal to _____.

The correct option is D ∠QOAAn angle bisector divides an angle into two equal halves. ∴ ∠POQ = ∠QOA = 45∘ 2 × ∠POQ = 2 × 45 = 90∘ ∠POQ + ∠QOA = 45 + 45 = 90∘ ∠POA = ∠POQ + ∠QOA = 45 + 45 = 90∘

In the following figure, if OQ is angle bisector of ∠POA, then 2 $\times$ ∠POQ cannot be equal to _____.

The correct option is D ∠QOA
An angle bisector divides an angle into two equal halves.
$∴$ ∠POQ = ∠QOA = $45^{\circ}$
2 $\times$ ∠POQ = 2 $\times$ 45 = $90^{\circ}$
∠POQ + ∠QOA = 45 + 45 = $90^{\circ}$
∠POA = ∠POQ + ∠QOA = 45 + 45 = $90^{\circ}$