Question

the angle of and quadrilateral are in the ratio 3 is to 9 is to 5 is to 13 find all the angles of the quadrilateral be draw a kite and a rectangle angle​

Answer 1

1. To Find,

• The measure of all angles of a quadrilateral

Solution,

Given that,

• The angles are in a ratio of 3 : 9 : 5 : 13

As we know that,

The measure of a quadrilateral is 360°

Therefore,

⟹ 3x + 9x + 5x + 13x = 360°

⟹ 12x + 18x = 360

⟹ 30x = 360

⟹ x = 360 / 30

⟹ x = 12

Therefore, the value of x is 12.

Now, the angles are,

• 3x = 36°
• 9x = 108°
• 5x = 60°
• 13x = 156°

Hence, the angles are 36°, 108°, 60° and 156°

2. Draw a kite

• Please refer the attachment.

3. Draw a rectangle

• Please refer the attachment.