Question

The angle of
finged the angle
quadrilateral are in a ratio of 2:3:5:8.
mesure of each angle​

Answer 1

Answer:

Now, we have the ratio of angles as 2 : 3 : 5 : 8. Let the first angle be 2x, so then according to the ratio, the angles will be 2x,3x,5x,8x. Hence, x=20∘. So, the angles will be 40∘,60∘,100∘,160∘.

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Answer 2

Given:-

• The angles of a quadrilateral are in the ratio 2:3:5:8

To Find:-

• The measure of each angle

Solution:-

Let the angles be:-

• 2x°
• 3x°
• 5x°
• 8x°

ATQ:-

As we know that the sum of all the angles of a quadrilateral is 360°

➺ 2x + 3x + 5x + 8x = 360°

➺ 5x + 13x = 360°

➺ 18x = 360°

➺ x = 360/18

➺ x = 20

∴The measure of each angle is:-

• 2x = 2×20 = 40°
• 3x = 3×20 = 60°
• 5x = 5×20 = 100°
• 8x = 8×20 = 160°

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