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

Each Angle of a Rectangle Is a Right Angle

In a parallel...

Question

In a parallelogram ABCD, $∠ A = x^{o}, ∠ B = 3 x + 20^{o}$ , find $x$ .

Open in App

Solution

$A n y t w o a d j a c e n t a n g l e s o f a p a r a l l e l o g r a m a r e s u p p l e m e n t a r y . S o ∠ A + ∠ B = 180^{o} \Rightarrow x + 3 x + 20 = 180 \Rightarrow 4 x = 160 \Rightarrow x = 40 S o ∠ A = 40^{o}, ∠ B = 3 \times 40 + 20 = 140^{o} O p p o s i t e a n g l e s o f a p a r a l l e l o g r a m a r e e q u a l . S o ∠ C = ∠ A = 40^{o}, ∠ D = ∠ B = 140^{o}$

Suggest Corrections

Similar questions

∠

°

∠

°

∠

∠

A B C D

∠ A = {(3 x + 12)}^{\circ},

∠ B = {(2 x - 32)}^{\circ}

x

∠ C

∠ D

x^{o}, (x + 10)^{o}, (x + 20)^{o}, (x + 30)^{o}

x^{o}, (x - 20)^{o}, (x - 40)^{o}

A B C D

∠ A = (2 x - 10)^{o}, ∠ B = (2 y - 20)^{o}, ∠ C = (2 y + 30)^{o}

∠ D = (3 x + 10)^{o} .

Join BYJU'S Learning Program