Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one of the angles formed is 72, what are the measures of the other three angles? Explain our answer.

party.girl286
Oct 2, 2017

#1**+2 **

The 72° angle and angle a form a straight line.

72° + angle a = 180º → angle a = 180° - 72° = 108°

The 72° angle and angle b are vertical angles, so they have the same measure.

angle b = 72°

Angle a and angle c are vertical angles, so they have the same measure.

angle c = angle a = 108°

The measures of the other three angles are 108°, 72°, and 108° .

hectictar
Oct 2, 2017

#1**+2 **

Best Answer

The 72° angle and angle a form a straight line.

72° + angle a = 180º → angle a = 180° - 72° = 108°

The 72° angle and angle b are vertical angles, so they have the same measure.

angle b = 72°

Angle a and angle c are vertical angles, so they have the same measure.

angle c = angle a = 108°

The measures of the other three angles are 108°, 72°, and 108° .

hectictar
Oct 2, 2017