Math, asked by shreyamishra8374, 4 months ago

Find the angles x, y in the following circles with centre O.


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Answers

Answered by Divyaballakuraya
2

Answer:

Angle A = 50°

Angle B = 90° ( from the property )

Angle C = 40°

Step-by-step explanation:

Note :

  • Always angle B will be 90° ( from the property )
  • Any angle or angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle.
  • Sum of all the angles of triangle will be 180°

As ACD is straight angle, sum of the angles on it will be equal to 180°

=> Angle ACB + angle BCD = 180

=> angle ACB + 140 = 180

=> Angle ACB = 180 - 140

=> Angle ACB = 40°

In triangle ABC

Angle ABC + angle ACB + angel CAB = 180°

=> 90 + 40 + x = 180

=> 130 + x = 180

=> x = 180 - 130

=> x = 50°

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