Question

What is the measures of angle AGB?

Answer 1

67°

Explanation:

points a, g, and d are all laying on a straight line. the angle of a straight line is 180 degrees. angle fge is 90 degrees, like it says above, and according to the vertical angles theorem, the angle across from it will also be 90 degrees. this would be angle bgc, which you can see is a 90 degree angle. so, we know that the two angles on the right of agb are 90 degrees and 23 degrees, so you'd add those together and get 113. 180 degrees, (the degree of a straight line) - 113 is equal to 67. so the angle is 67 degrees.

Answer 2

67 degrees

angle BGC is equal to angle FGE, if FGE is 90 degrees so is angle BFC, angle AGF is equal to angle CGD so if angle CGD is 23 degrees so will AGF when adding all angles you should get 360 degrees so adding 90+90+23+23=226 degrees and when subtracting 226 from 360 you would get 360-226= 134 and dividing the two angles we don’t have would equal 67 degrees added all together 90+90+23+23+67+67=360 degrees

So we can conclude the correct answer is 67 degrees.
hope it helps ‍♀️