Question

The angles of a quadrilateral are in ratio3:4:5:6.
Find the measure of each angle.​

Answer 1

HI!

by angle sum property of triangle

3x + 4x + 5x + 6x = 360

18x = 360

x = 360/18

x = 20 (18*20=360)

so each angle would be

3x = 3* 20 = 60

4x = 4* 20 = 80

5x = 5*20 =  100

6x = 6* 20 = 120

HOPE THIS HELPS!

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Answer 2

Question :-

The angles of a quadrilateral are in ratio3:4:5:6.

Find the measure of each angle.

Answer :-

Sum of all the angles of a quadrilateral = 360°

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So let the angles be ⤵

3x, 4x, 5x, and 6x

Now ⬇

$3x + 4x + 5x + 6x = 360 \\ \\ 18x = 360 \\ \\ x = \frac{360}{18} \\ \\ x = 20$

X = 20

__________________________

Now all the angles are ⬇

$3x = 3 \times 20 = 60 \\ \\ 4x = 4 \times 20 = 80 \\ \\ 5x = 5 \times 20 = 100 \\ \\ 6x = 6 \times 20 = 120$