If angle A and angle C are two opposite angles of a parallelogram, then

In order to continue enjoying our site, we ask that you confirm your identity as a human. Thank you very much for your cooperation.

Question 7 Exercise 27(B)

Next

Answer:

Solution:

Two opposites angles of a parallelogram are 100 each

Adjacent angles of a parallelogram are supllementar

A + B = 180°

B = 80°

Also opposite angle of a parallelogram are equal

D = B =80°

B = D = 80°

Video transcript

Two opposite angles of a parallelogram a hundred of these each fight each of the other two objects. Okay. So a prophet is given as 10 degrees in take one pair of amethyst and how the bottom plate to someone every time you look like. They're not much of a career opportunities for increased value 200 e61 racism. You think I just pour the liquid exits. We know that these two sides are going to be a definite impact the quality is because we are eating we combine it is going to be a geek now. This one's going to be a caregiver. Okay, so that Okay, everybody for this video subscribe to shopping for updates. If you have any queries, you can put on comment section and text watch this video.

Was This helpful?

>

Two opposite angles of a parallelogram are 3x 2∘ and 50 x ∘. Find the measure of each angle of the parallelogram.

Solution

$\because$ Opposite angles of a parallelogram are equal

$\therefore 3x-2=50-x$

$\Rightarrow 3x+x=50+2\Rightarrow 4x=52\Rightarrow x=\frac{52}{4}=13\therefore \angle A=3x-2=3\times 13-2={39}^{\circ }-2={37}^{\circ }\angle C={50}^{\circ }-x={50}^{\circ }-13={37}^{\circ }But\angle A+\angle B={180}^{\circ }\therefore {37}^{\circ }+\angle B={180}^{\circ }\Rightarrow \angle B={180}^{\circ }-{37}^{\circ }={143}^{\circ }$

and $\angle D=\angle B$ (Opposite angles of a ||gm)

$\therefore \angle D={143}^{\circ }$

Hence angles and ${37}^{\circ },{143}^{\circ },{37}^{\circ },{143}^{\circ }$

Mathematics

RD Sharma

Standard IX