21 and 22 are in the ratio 3:2 determine the angle
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Answer:
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Step-by-step explanation:
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
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