If PQRS is a parallelogram, then what are the remaining angles?

∠ P = ∠ R = 80 ° ∠ Q = ∠ S = 100 °

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

∠ P = ∠ R = 90 ° ∠ Q = ∠ S = 90 °

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

∠ P = ∠ S = 80 ° ∠ Q = ∠ R = 100 °

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

∠ P = ∠ R = 80 ° ∠ Q = 90 ° ∠ S = 100 °

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

Open in App

Solution

The correct option is A $∠ P = ∠ R = 80 ° ∠ Q = ∠ S = 100 °$
Given, PQRS is a parallelogram

We know that the opposite angles of a parallelogram are equal.
$∴ ∠ S = ∠ Q = 80 °$
$a n d ∠ P = ∠ R$

Also, the sum of consecutive or adjacent angles of a parallelogram is 180°.
$∴ ∠ Q + ∠ R = 180 °$
$\Rightarrow 80 ° + ∠ R = 180 °$
$\Rightarrow ∠ R = 180 ° - 80 ° = 100 °$

Suggest Corrections

Similar questions

∠ Q - ∠ S

∠ P = 75^{o}

∠ Q =

∠ 1

∠ 2

∠ 1 = ∠ 2 = ∠ 3 = ∠ 4

□ P Q R S

□ A B C R

∠ P = 110^{o}

□ A B C R

∠ P Q R .

Join BYJU'S Learning Program