if the angles of a quadrilateral are 4 x 3 x + 10 raise to 0 2 X + 10 raise to 0 and 4 x + 15 raised to zero then find the value of x and the measure of the angles
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Answer:
Given that angles in the quadrilateral are x
∘
,(x+10)
∘
,(x+20)
∘
,(x+30)
∘
Sum of all the angles of a quadrilateral =360
∘
∴x
∘
+(x+10)
∘
+(x+20)
∘
+(x+30)
∘
=360
∘
⇒4x+60
∘
=360
∘
⇒4x=300
∘
⇒x=
4
300
=75
∘
∴ each angle is as follows
x
∘
=75
∘
,(x+10)
∘
=85
∘
,(x+20)
∘
=95
∘
,(x+30)
∘
=105
∘
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