Question

the angles of the quadrilateral are in the ratio 5:3:7:15 find all the angles of quadrilateral​

Answer 1

Answer:

• 60° , 36 ° 84° & 180° are the required angles .

Step-by-step explanation:

According to the Question

It is given that,

Angles of the quadrilateral are in the ratio 5:3:7:15

Let the ratio be 5x : 3x : 7x : 15x

we have to calculate the angles of quadrilateral .

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

Sum of Angles = 360°

substituting the value we get

↠ 5x + 3x + 7x + 15x = 360

↠ 8x + 22x = 360

↠ 30x = 360

↠ x = 360/30

↠ x = 12

Therefore,

→ 5x = 5×12 = 60°

→ 3x = 3 × 12 = 36°

→ 7x = 7 × 12 = 84°

→ 15x = 15 × 12 = 180° .

Answer 2

Answer:

• 60°, 36°, 84°, 180°

Step-by-step explanation:

According to information given in question is:-

Ratio of angles of a quadrilateral.

The ratio are given as:-

• 5:3:7:15

We have to calculate the measure of angles of the quadrilateral.

We know that the sum of all the angles of a quadrilateral are 360°.

Let the number be x.

Substituting the values we get:-

$\large\underline{\sf{5x + 3x + 7x + 15x = 360 \degree}}$

On adding like terms.

$\large\underline{\sf{30x = 360 \degree}}$

On dividing we get

$\large\underline{\sf{x = \frac{360 \degree}{30} }}$

$\large{\sf{ \implies x = 12 \degree}}$

On multipliying x with different ratios we get:-

$\large\underline{\sf{5x =5 \times 12 \degree = 60 \degree}}$

$\large\underline{\sf{3x = 3 \times 12 \degree = 36 \degree}}$

$\large\underline{\sf{7x = 7 \times 12 \degree =84 \degree }}$

$\large\underline{\sf{15x = 15 \times 12 \degree = 180 \degree}}$