Math, asked by beginner278, 7 months ago

Mathematics question here.... PL tell​

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Answered by amitgoel301977
2

Answer:

The answer is 150°.

Step-by-step explanation:

We know that,

Angle subtended by a chord at the centre is double the angle it subtends on the remaining part of the circle.......(i)

So, angle APB = 2 angle ACB.

angle ACB = 1/2 angle APB

Therefore, angle ACB = 75°

Also, angle ACB + angle BCD = 180° ......... Linear pair

angle BCD = 180° - 75° = 105°

Now, by applying (i),

reflex angle BQD = 2 × 105 = 210°

angle BQD = 360° - 210° = 150°

So, the answer is angle BQD = 150°

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