Question

if four angles of quadrilateral are in the ratio 3: 8: 10: 3 then find the measure of all angles​

Answer 1

Answer:

3x+8x+10x+3x=360. ( Let the common ratio be X)

24x=360

X= 15

3x= 45

8x=120

10x= 150

3x=45

Answer 2

Let the four angles of quadrilateral

$= 3x, 8x, 10x \: and \: 3x$

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To find, the measure of angles of quadrilateral = ?

We know that,

The sum of all angles of quadrilateral = 360°

$:3x + 8x + 10x + 3x = 360°$

$⇒24x = 360°$

$⇒x = \frac{360}{24}$

$⇒x = 15°$

$3x = 3 \times 15° = 45°$

$8x = 8 \times 15° = 120°$

$10x = 10 \times 15° = 150°$

$3x = 3 \times 15° = 45°$

Thus, the four angles of quadrilateral are

$45 °, 120 °, 150 ° and \: 45 °.$

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