Question

In the given
<ATO = 40°
figure of
find <AOB.​

Answer 1

✔ANSWER:

⏭80°

✔STEP BY STEP EXPLANATION:

⏭If seg AT & seg BT are tangents, then,

In triangle AOT & triangle BOT,

seg AT congruent seg BT ....(tangent secant theorem)

seg OT congruent seg OT .....(common side)

angle OAT congruent angle OBT .....(each 90°)

Hence, triangle AOT congruent triangle BOT

So,

angle AOT congruent angle BOT ....(c.a.c.t.)

But, angle AOT = 40°

So, angle BOT = 40°

Hence,

angle AOB = 80° .... (angle AOT + angle BOT)

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Answer 2

Answer:

HEY MATE BELOW IS YOUR ANSWER...

IF YOU CALCULATE IT

< AOB= 80•

< AOB= < ATB

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