In the given figure AB|| CD and PQlirs. Find the
angles marked.
P Р
A
3
Te
2
360
7
4
90°
ng
6
5
Answers
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3
Answer:
As per diagram AB∣∣CD
and we know that sum of angles in a straight line is 180
o
let the unknown angle be x
∠1:∠2=3x:2x
∠1+∠2=180
o
3x+2x=180
o
5x=180
o
x=36
o
=> ∠1=3×36
o
=108
o
=> ∠2=2×36
o
=72
o
We know that vertically opposite angles are equal.
∠1=∠3=108
o
∠2=∠4=71
o
We know that corresponding angles are equal.
∠1=∠5=108
o
∠2=∠6=71
o
∠4=∠8=71
o
∠3=∠7=108
o
∴ ∠1=∠5=∠3=∠7=108
o
and
∠2=∠6=∠4=∠8=71
o
Step-by-step explanation:
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