7
In the given figure, straight lines PQ and RS intersect at 0. If the magnitude of 0 is 3 times that
of then 20 is equal to :
R
(A) 30
(B) 40
(C) 45
(D) 60
(With solving equation pls)Pls send how to solve also
Answers
Step-by-step explanation:
Introducing VIP - Your Progress Is Our Responsibility
KNOW MORE
filledbookmark
USE APP
Sign in
Questions & Answers
CBSE
Mathematics
Grade 9
Lines and Angles
Question
Answers
Related Questions
In the given figure, find the value of y.
Answer
VerifiedVerified
88.5K+ Views
Hint: We can use the property of vertically opposite angles are equal to find the unknown angles. Then we can add all the angles around the point and equate it to 360∘. Then we can solve for y to get the required solution.
Complete step by step answer:
We are given that ∠AOB=6y. Consider the line AD and EB. Then, ∠AOB and ∠EODare vertically opposite angles. We know that vertically opposite angles are equal.
⇒∠AOB=∠EOD=6y… (1)
Consider the lines FC and EB. Then, ∠FOEand ∠BOC are vertically opposite angles and are equal.
⇒∠FOE=∠BOC
We know that ∠FOE=4y,
⇒∠BOC=∠FOE=4y… (2)
Now consider the lines AD and CF. Then, ∠FOAand ∠DOC are vertically opposite angles and are equal.
⇒∠FOA=∠DOC
We know that ∠DOC=8y,
⇒∠FOA=∠DOC=8y… (3)
Now we have the measures of all the angles around the point O. The sum of these angles will be 360∘ as it completes a full turn around point O.
⇒∠AOB+∠BOC+∠COD+∠DOE+∠EOF+∠FOA=360∘
Using equations (1), (2), and (3), we get,
6y+4y+8y+6y+4y+8y=360∘
⇒36y=360∘
Dividing throughout with 36, we get,
y=360∘36⇒y=10∘
Therefore, the required value of y is 10∘
please tell me
very urgent
please someone help me