One angle of a pentagon is 140^o. If the remaining angles are in the ration 1:2:3:4, find the size of the greatest angle

180^o

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200^o

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160^o

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140^o

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Solution

The correct option is C
160^o

Let the remaining angles be

x, 2x,3x and 4x

140 + x + 2x + 3x + 4x = (5 - 2) 180

140 + 10x = 540

10x = 400

x = 40

4x = 160^o

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One angle of a pentagon is 140o. If the remaining angles are in the ration 1:2:3:4, find the size of the greatest angle

The correct option is C 160oLet the remaining angles be x, 2x,3x and 4x 140 + x + 2x + 3x + 4x = (5 - 2) 180 140 + 10x = 540 10x = 400 x = 40 4x = 160o

One angle of a pentagon is 140^o. If the remaining angles are in the ration 1:2:3:4, find the size of the greatest angle

The correct option is C
160^o

Let the remaining angles be

x, 2x,3x and 4x

140 + x + 2x + 3x + 4x = (5 - 2) 180

140 + 10x = 540

10x = 400

x = 40

4x = 160^o