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

Every Point on the Bisector of an Angle Is Equidistant from the Sides of the Angle.

In the parall...

Question

In the parallelogram, the value of $x$ is

30^{\circ}

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

50^{\circ}

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

70^{\circ}

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

80^{\circ}

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

Open in App

Solution

The correct option is D $70^{\circ}$
$A B C D p a r a l l e l o g r a m i n w h i c h s i d e s A B a n d D A c u t b y l i n e P Q ∠ B C D = 80 (G i v e n) ∠ D A B = ∠ B C D = 80 (O p p o s i t e s i d e s o f p a r a l l e l o g r a m a r e e q u a l) A l s o ∠ B Q P = 150 (G i v e n) ∠ A Q P + ∠ B Q P = 180 (L i n e a r P a i r o f a n g l e s) \Rightarrow ∠ A Q P + 150 = 180 \Rightarrow ∠ A Q P = 180 - 150 = 30 I n △ P A Q ∠ P A Q + ∠ A Q P + ∠ Q P A = 180 (A n g l e s u m P r o p e r t y) S i n c e ∠ P A Q = ∠ D A B = 80 \Rightarrow 80 + 30 + ∠ Q P A = 180 \Rightarrow ∠ Q P A = 180 - 110 = 70 H e n c e ∠ Q P A = x = 70 O p t i o n (C) i s c o r r e c t a n s w e r$

Suggest Corrections

Similar questions

For what value of x will $△ A B C ≅ △ X Y Z$ ?

Variable	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
Frequency	$12$	$30$	$x$	$65$	$y$	$25$	$18$

46

230

Identify the modal class:

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,

50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

60

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80,

90, 50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

60

40

Join BYJU'S Learning Program