Question

The Measures of a Qudrilateral ABCD are in the ratio 2:3:4:1. Find the measures of each angle

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Answer 1

Answer:

$2x + 3x + 4 x+ 1x = 180(angle \: sum \: \\ property \: of \: quad....) \\ 10x = 180 \\ x = \frac{180}{10} = 18 \\ so \: value \: of \\ 2x \: \: = 2 \times 18 = 36 \\ 3x = 3 \times 18 = 54 \\ \: 4 x = 4 \times 18 = 72 \: \\ 1x = 1 \times 18 = 18$

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Answer 2

Answer:

72⁰, 108⁰, 144⁰, 36⁰

Step-by-step explanation:

let the ratio be x

so, 2x,3x,4x,x

as we know that the sum of the angels in a quadrilateral is 360⁰

Therefore, 2x+3x+4x+x = 360⁰

10x = 360⁰

so, x= 36⁰

then 2x = 36⁰X 2= 72⁰

3x = 36⁰X 3=108⁰

4x = 36⁰X 4= 144⁰

x = 36⁰X 1= 36⁰