Line AB is tangent to circle C at point B and Line AD is tangent to circle C at point D. What is the measure of angle A?
The sum of the internal angles of a quadrilateral is 360o
you have TWO 90 degree angles PLUS a 124o angle...... the rest of the 360o is angle A
Just an observation. This question adheres to the standard format for multiple choice questions. Of the choices of answers,
1 choice is correct, EP's excellent analysis shows us how to deduce that 56o is correct.
1 choice is almost correct, 62o is close enough to 56 that you can't tell tell them apart by eye.
1 choice is wrong, You can tell that 34o is wrong because that size angle is too acute.
1 choice is ridiculous. 124o is obtuse, impossible for an internal angle of a quadrilateral.