Reddragon327
Reddragon327 Reddragon327
  • 22-08-2022
  • Mathematics
contestada

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

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

Respuesta :

mmamdouh
mmamdouh mmamdouh
  • 22-08-2022

Answer:

x = 135 degrees

Step-by-step 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!

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