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?

Guest May 12, 2020

#1**+2 **

The sum of the internal angles of a quadrilateral is 360^{o}

you have TWO 90 degree angles PLUS a 124^{o }angle...... the rest of the 360^{o} is angle A

ElectricPavlov May 12, 2020

#1**+2 **

Best Answer

The sum of the internal angles of a quadrilateral is 360^{o}

you have TWO 90 degree angles PLUS a 124^{o }angle...... the rest of the 360^{o} is angle A

ElectricPavlov May 12, 2020

#2**+1 **

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 56^{o} is correct.

1 choice is almost correct, 62^{o} is close enough to 56 that you can't tell tell them apart by eye.

1 choice is wrong, You can tell that 34^{o} is wrong because that size angle is __too__ acute.

1 choice is ridiculous. 124^{o} is obtuse, impossible for an internal angle of a quadrilateral.

_{.}

Guest May 12, 2020