Question

The measures of the angles of a qu
of quadrilateral is it?
asures of the angles of a quadrilateral are in the ratio 1:2:3: 4. Find the measure of each angle
​

Answer 1

Answer:

36,72,108,144 is your answer

Answer 2

Given :-

• The angles of quadrilateral are 1:2:3:4.

To Find :-

• Measure of each Angles of quadrilateral .

Solution :-

Let the angles be,

1x, 2x, 3x, 4x.

Now, We know that,

• Sum of angles of a quadrilateral is 360°.

➝ 1x + 2x + 3x + 4x = 360°

➝ 10x = 360°

➝ x = 360/10

➝ x = 36°

Now,

First Angle = x = 36°

Second Angle = 2x = 2  × 36°= 72°

Third Angle = 3x = 3 × 36° = 108°

Fourth Angle = 4x = 4 × 36° = 144°

Therefore measure of all angles of quadrilateral is 36°, 72°, 108° and 144° .

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