Calculate Alpha and Beta Angles in Circle-Line Intersection Problem

Calculate angles α,β \alpha,\beta

αβ5

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Step-by-step video solution

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00:00 Find angle A,B
00:05 Lines are parallel according to the given
00:10 Corresponding angles are equal between parallel lines
00:15 Angle complementary to a straight angle
00:25 Let's isolate angle A
00:35 This is angle A
00:43 Vertical angles are equal
00:50 And this is the solution to the question

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1

Understand the problem

Calculate angles α,β \alpha,\beta

αβ5

3

Final Answer

α=175 \alpha=175 β=5 \beta=5

Practice Quiz

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If one of two corresponding angles is a right angle, then the other angle will also be a right angle.

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