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Q.

In a quadrilateral, the angles arex°,x+10°,x+20°  and x+30°, then the measure of greatest angle is

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a

75°

b

85°

c

95°

d

105°

answer is D.

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Detailed Solution

x°,x+10°,x+20°,x+30°
x+(x+10)+(x+20)+(x+30)=3604x+60=3604x=360604x=300x=75(x+10)=75+10=85(x+20)=75+20=95(x+30)=75+30=105
The greatest angle is 105°

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