Calculate Alpha and Beta Angles in Circle-Line Intersection Problem

Question

Calculate angles $\alpha,\beta$

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

$\alpha=175$ $\beta=5$