Question

The interior angles of a quadrilateral are in the ratio 1: 2: 3: 4. Find the measure of each of the interior angles.​

Answer 1

Sum of interior angles of a quadrilateral is 360° according to Angle Sum Property.

So,

ACCORDING TO QUESTION,

$1x + 2x + 3x + 4x = 360°$

=>

$10x = 360°$

=>

$x = \frac{360°}{10}$

=>

$x = 36°$

First Angle=

$1x = x = 36°$

Second Angle=

$2x = 2 \times 36 = 72°$

Third Angle=

$3x = 3 \times 36 = 108°$

Fourth Angle=

$4x = 4 \times 36 = 144°$

I hope it helps you