Question

If a quadrilateral ABCD ,the angles A,B ,C and D are in ratio 1:2:3:4 find the measures of each angle of each angle of the quadrelateral

Answer 1

LET THE COMMON ANGLE BE X

ACCORDING TO CONDITION:

1X+2X+3X+4X=360°

10X=360

X=360/10

X=36

1×36=36

2×36=72

3×36=108

4×36=144...

THE MEASURE OF ANGLE A IS 36°

THE MEASURE OF ANGLE B IS 72°

THE MEASURE OF ANGLE C IS 108°

THE MEASURE OF ANGLE D IS 144°

HOPE SO THIS HELPS YOU...☺️

Answer 2

Explanation:

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We know that,

Sum of all angles of a quadrilateral is 360°.

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Now,

Let 1:2:3:4 be x, 2x, 3x, 4x

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So,

x+2x+3x+4x= 360°

10x = 360°

x=360/10

x=36°

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Therefore, the values of:

a=x=36°

b=2x=36×2=72°

c=3x=36×3=108°

d=4x=36×4=144°

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Hope it helps.

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