Parallel Lines Geometry: Calculate Angles Alpha and Beta Given 105°

Question

Lines a and b are parallel.

Calculate the size of angles $\alpha,\beta$ .

00:00 Find angle A,B

00:06 Lines are parallel according to the given information

00:11 Corresponding angles between parallel lines sum to 180

00:16 Let's isolate angle B

00:31 This is angle B

00:36 Vertical angles are equal

00:41 And this is the solution to the question

$75$