Question

Quadrilateral ABCD is inscribed in a circle. Find the measure of each angle of the quadrilateral.

Answer 1

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°