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Question 7 Exercise 27(B)
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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.
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Two opposite angles of a parallelogram are 3x 2∘ and 50 x ∘. Find the measure of each angle of the parallelogram.
Solution
∵ Opposite angles of a parallelogram are equal
∴3x−2=50−x
⇒3x+x=50+2⇒4x=52⇒x=524=13∴∠A=3x−2=3×13−2=39∘−2=37∘∠C=50∘−x=50∘−13=37∘But∠A+∠B=180∘∴37∘+∠B=180∘⇒∠B=180∘−37∘=143∘
and ∠D=∠B (Opposite angles of a ||gm)
∴∠D=143∘
Hence angles and 37∘,143∘,37∘,143∘
Mathematics
RD Sharma
Standard IX
2