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19 votes
19 votes
Please help me! no links please im begging u ;(

Please help me! no links please im begging u ;(-example-1
User Yvespeirsman
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1 Answer

15 votes
15 votes

9514 1404 393

Answer:

x = 70

Explanation:

The angle between the tangents is the supplement of the intercepted arc:

x° = 180° -110°

x° = 70°

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Alternate solution

The exterior angle x° is half the difference of the intercepted arcs. Long arc ACB is 360° -110° = 250°, so we have ...

x° = (250° -110°)/2 = 140°/2

x° = 70°

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If you work this alternate solution generically, you find it is the same as the first solution.

x = ((360 -AB) -AB)/2 = (360 -2AB)/2 = 180 -AB

User Fiston Emmanuel
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