SOLUTION: 17) A, B, C and D are points on the circumference of a circle with a center O. Chords AB and CD intersect at the point X. If ∠AXD = 94° and ∠CBA = 59°, find ∠DAX.

Question 1150416: 17)

A, B, C and D are points on the circumference of a circle with a center O. Chords AB and CD intersect at the point X. If ∠AXD = 94° and ∠CBA = 59°, find ∠DAX.
A) 27°
B) 33°
C) 57°
D) 72°
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The key to solving the problem is to see that angles CDA and CBA are congruent, because they both cut off the same arc AC.

Then in triangle DAX you know the measures of angles AXD and ADX; knowing that the sum of the three angles is 180 degrees makes it easy to find the measure of angle DAX.

I leave the simple calculations to you.

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