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Crank
2 years ago
11

if one angle of parallelogram is four times greater than the othe. find of a parallelogram? *Short ans please*​

Mathematics
2 answers:
enyata [817]2 years ago
7 0

Answer:

144°, 144°, 36°, 36°.

Step-by-step explanation:

Take shorter angle = x

Then the bigger angle = 4x (4 times the other angle)

In a parallelogram, there are 4 angles. Also, in a parallelogram opposite angles are equal to each other.

So,

1 angle = x

2 angle = 4x

3 angle = x

4 angle = 4x

The sum of all 4 angles in a parallelogram = 360°. So,

4x + x + 4x + x = 360°

10x = 360°

x = 360/10

x° = 36°

4x = 36 × 4 = 144°

Angles in the parallelogram = 144°, 144°, 36°, 36°.

Hope it helps ⚜

gavmur [86]2 years ago
5 0

Step-by-step explanation:

Let x represent the smaller angle:

Question States***

x + 4x + x + 4x = 360

10x = 360

x = 36

the angles of the parallelogram are: = 36° and 144° 4x

CHECKING our answer***

36 + 144 + 36 + 144 = 360

short question mark me as brainlist please

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