Question

The angles of a quadrilateral are in the ratio 3:4:5:6
Find each angle of the quadrilateral. (2 M)​

Answer 1

Step-by-step explanation:

LET THE ANGLES BE 3X , 4X , 5X , AND 6X

WE KNOW THAT SUM OF ALL ANGLES OF A QUADRILATERAL IS ALWAYS 360°

3X+4X+5X+6X = 360

X = 360/ 18

OR X = 20

ANGLES ARE

60°

80°

100°

120°

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Answer 2

Answer:

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Step-by-step explanation:

Let the measure of angles be 3x,4x,5x and 6x.

We know that sum of measure of all four angles is 360°.

∴ 3x+4x+5x+6x=360°

⇒18x=360°

⇒ x=20°

⇒3x=3×20°=60°

⇒4x=4×20°=80 °

⇒5x=5×20° =100°

=> 6x= 6×20= 120°

⇒ The measures of angles of quadrilateral are 60° ,80° ,100° and 120°.