Question

The angles of quadrilateral are in the ratio 3:5:9: 13. Find all the angles of the
quadrilateral​

Answer 1

Answer:

LET THE COMMON RATIO BE X.

ATP,

3X+5X+9X+13X = 360

30X= 360

X = 12

ANGLES = 36°,60°,108°,156°

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Answer 2

Given

Here, we are given with a quadrilateral whose ratio of angles is 3:5:9:13.

To Find

We have to find the measure ofeach of these angles.

Solution

Let,

The angles be 3x, 5x, 9x and 13x

According to angle sum property of Quadrilateral, All the four angles of a quadrilateral add upto 360°.

That means,

▶ 3x + 5x + 9x + 13x = 360°

▶ 30x = 360°

▶ x = 360° / 30

▶ x = 12°

The measure of the angles are::

3x = 3×12=36°

5x = 5×12=60°

9x = 9×12=108°

13x = 13×12=156°

Required answer

first angle 36°

second angle 60°

third angle 108°

fourth angle 156°

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