Question

In the given figure O is the centre of the circle with angle TQM = 35° then angle ATQ would be equal to

Answer 1

this is your ques ans

Answer 2

Answer:

The measure of the ∠ATQ=55°

Step-by-step explanation:

Given: O is the center of the circle, OQ and OT are the radii of the circle. and ∠TQM=35°.

Now, OQ=OT(Radii of the circle)

therefore,∠OQT=∠OTQ=35° (Equal sides have equal angles)

But, from the figure, ∠ATO=∠OTQ+∠ATQ

⇒90°=35°+∠ATQ

⇒∠ATQ=90°-35°

⇒∠ATQ=55°.

Hence, The measure of the ∠ATQ=55°