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Pls answerAB is tangent to both circlesfind angle ACB + angle ADB​

Answer»

ANSWER:

Step-by-step explanation:

WE are GIVEN that the two circles intersect each other at C and D and the line ab is the common tangent, then

ANGLE made by the chord and tangent= angle in alternate SEGMENT,

therefore ∠CBA=∠CDB and ∠CAB=∠CDA.

Now, as ∠CDB+∠CDA=∠CBA+∠CAB

⇒∠ADB=180°-∠ACB ( because from the FIGURE it is given that ∠CDB+∠CDA=∠ADB)

⇒∠ADB+∠ACB=180°

Hence proved.



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