Octagon and Triangle

First , we must find each of the interior angles of octagon.

$\frac {360}{8}$ = x then 180-x will result to the answer $135^\circ$ .

Then, there will be a linear formed in the hypotenuse of the right triangle which measures $180^\circ$ (reflex).

So, $x$ is $180^\circ - 135^\circ = \boxed {45^\circ}$ .

If a transversal intersects two parallel lines, then the alternate interior angles are congruent.''

360/8 = 45 ,,,,,,,,,,,,,,,

First , we must find each of the interior angles of octagon.

360/8= x then 180-x will result to the answer = 135 degrees.

Then, there will be a linear formed in the hypotenuse of the right triangle which measures 180 degrees (reflex).

So, 180 - 135 = 45 will be the answer 45

each angle in an octagon measures 135 degree. so subtracting from it 90 would give x=45. simple is that!

the interior angle of octagon=180 (n-2)/n=180 (8-2)/8=135 then the angle of the right triangle=135-90=45 then x=45 by symmetry

180 - 135 = 45