Quadrilateral ABCD is inscribed in a circle. Find the measure of each angle of the quadrilateral.
1 answer:
Angle A= 88°
Angle C= 92°
Angle D= 80°
Step-by-step explanation:
Step 1:
From the basic property of Quadrilateral Angle A and Angle C are supplemental( Which means sum of Angle at A and Angle at C is equal to 180 degree)
Step 2:
From the given figure We could relate that
Angle at A = (X-2)°
Angle at C = (X+2)°
Angle at D = (X-10)°
(X-2)° + ( X+2)° = 180°
On simplification
X-2+X+2=180°
2X=180°
and X=180/2
X = 90°
Angle at A= (90-2)° = 88°
Angle at C = (90+2)° = 92°
Angle at D= (90-10)° = 80°
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