Math, asked by kaniksha, 1 year ago

two adjacent angle of a parallelogram are in the ratio 4 : 5 find the measure of each of the its angle

Answers

Answered by Anonymous
10
Two adjacent angles of parallelogram = 180°
Here the ratio is 4:5
Therefore
4x+5x=180°
=9x=180°
=x=180/9°
X = 20°

Therefore first angle =4x =4(20)=80°
And the second angle = 5(20)=100°
As you know opposite angles are equal
So 1st angle =3rd angle
And 2nd angle =4th angle
Therefore all angles are 80 ,100, 80, 100

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Answered by Anonymous
5
hiii!!!

here's ur answer...

we know that the sum of two adjacent angle in a parallelogram is 180°.

given that the two adjacent angle are in ratio 4 : 5

let the two adjacent angles be 4x and 5x.

therefore 4x + 5x = 180°

==> 9x = 180°

==> x = 180/9

==> x = 20°

hence, the two adjacent angle are = 4x

= 4 × 20

= 80°

5x = 5 × 20

= 100°

VERIFICATION:-

sum of two adjacent angle = 80° + 100°

= 180°

hence verified

now,

we know that the two opposing angle in a parallelogram are equal, so the other two angles are 80° and 100°

all the angles are :- 80°, 100°, 80° and 100°

hope this helps..!!
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