Find the value of x. The diagram is not drawn to scale.

Question

anonymous · Answer

attachment

anonymous · Answer

all the angles should sum up to 0

whpalmer4 · Answer

All the angles should add up to 360...

anonymous · Answer

90+148+2x+10+2x+112=0  solve for x

anonymous · Answer

solve for x

anonymous · Answer

I'm confused..

anonymous · Answer

im not saying 360 is wrong u can add 360 to any angle it will be same
30+360=390=30
60+360=420=60
see but u need smallest value right the standard value

whpalmer4 · Answer

Interior angles of a polygon with n sides sum up to 180(n-2) degrees.  So a square has 4 sides, and the interior angles sum to 360 (=4*90).  This figure has 5 sides, so the angles should sum up to 540 degrees, not 360 (and not 0).  You've got 1 90 degree angle, 112, 148, and 2x and 2x + 10.  $$90 + 112 + 148 + 2x + 2x + 10 = 540$$

whpalmer4 · Answer

$$360+4x=540$$
Solve for x.

anonymous · Answer

x = 45?? Is that the solution?

whpalmer4 · Answer

Yes, that's my professional opinion :-)

anonymous · Answer

Yay! Thank you so much for walking through it. (:

whpalmer4 · Answer

So the angles were 2x = 90 and 2x+10 = 100 degrees.