Question

if PQRS is parallelogram and ratio of Angel A and angle B is 5:4 then find the measure of angle B

Answer 1

Hey friend, Harish here.

Here is your answer:

We know sum of adjacent angles in a parallelogram is 180°.

Given That, a:b = 5: 4

So, Let angle a= 5x , b = 4x.

Then,

a + b = 180.

→ 5x + 4x = 180

→ 9x = 180

→ x = 180/ 9 = 20

So,Angle B = 4x =4 × 20 = 80°

Therefore measure of angle B is 80°
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Hope my answer is helpful to you.

Answer 2

Hello dada!!..




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As we know, opposite angles of parallelogram are equal as well,opposite sides are parallel and equal.

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Therefore,

Angle A+angleB+angleC+angleD=360[ANGLE SUM PROPERTY].


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therefore using the identities.

And the given conditions.


The ration let to be


5x and 4x


So,opposite sides are also equal thus,

5x+4x+5x+4x=360.

So..adding..


18x=360
X=20 degrees..

Therefore..

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5x=?
5[20]=100degrees
And
4x?
4(20)=80

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So the angles are A=100

And angle B=80


Similarly angle A=C[opposite sides} and angle B=angleD



So angle


Angle C=100degres
AngleD=80degrees

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Thus,this is the solution.


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Hope it helps you!!
Thanks!!

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