in the figure given below let's lines /¹ and /² be parallel and t is transversal .find the value of X
Answers
Answered by
2
Answer:
Two parallel lines l and m be cut a transversal t, forming angles.
It is given that ∠1:∠2=5:7
Let the measures of angles by 5x and 7x,
Then,
5x+7x=180
12x=180
x=180/12
x=15
∴∠1=5x=5×15=75
o
∠2=7x=7×15=150
o
We know that,
∠2+∠3=180
o
.[∵ linear pair]
150
o
+∠3=180
o
=∠3=180−105
∠3=75
o
∠3+∠6=180
o
[∵ the sum of the consecutive interioi angles is 180
o
]
75
o
+∠5=180
o
∠6=180−75
∠6=150
o
Now ∠6=∠8=150
o
[∵ vertically opposite angles are equal]
∴∠1=75
o
,∠2=105
o
,∠=75
o
and ∠8=105
o
.
Answered by
0
Answer:
the answer is yes I am in
Step-by-step explanation:
please mark as brainlist
Attachments:
Similar questions