in a quadrilateral ABCD, the angles A B C and D are in the ratio 1:2:3:4: find the measure of each angle in quadrilareal
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Step-by-step explanation:
10x=360°
x=36°
measure of each angle is 36°
Answered by
2
Hey mate
Hey mateHere is ur answer:-
Let x be the angles
So, each angle would be x, 2x, 3x, and 4x respectively.
We know that angle sum property of a quadrilateral is 360°
→So, we got an equation to compute, i.e
x+2x+3x+4x = 360°
10x = 360
x = 360÷10
x = 36°
So, as we know the value of x, each angle's measure is -
- angle A = x = 36°
- angle B = 2x = 72°
- angle C = 3x = 108°
- angle D = 4x = 144°
therefore, measure of angles A, B, C and D is 36°, 72°, 108° and 144° respectively.
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