Question

in parallelogram ABCD,angle A:angle B=1:2 then angle C​

Answer 1

Answer:

Let ∠A be x and ∠B be 2x

As we know, that opposite angles are equal in a parallelogram.

Hence,

∠A=∠C and ∠B=∠D

and also ,

sum of all angles = 360

∘

Hence,

∠A+∠B+∠C+∠D=360

∘

2(∠A+∠B)=360

∘

⇒(x+2x)=180

∘

⇒3x=180

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∴x=60

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