Question

The lines mean that the angles are all the same and it asks you to calculate x. see the attachment

Answer 1

x = 135 degrees

Explanation:

The measure of each interior angle of a regular polygon is given by = (n-2)×180/n where n is the number of sides.

So for the regular octagon the measure of each interior angle is (8-2)×180/8 = 135

y = 135-90

y = 45 degrees

———

y + y + z = 135

90 + z = 135

z = 45 degrees

———

v = w = 90 (alternate interior angles of parallel lines)

———

z + w + w + x = 360 (angles in a quadrilateral add to 360)

45 + 90 + 90 + x = 360

225 + x = 360

x = 135 degrees

Good Luck!