Question
The figure below shows rate f a and two lines that intersects at point f what is the measures of angle DFC a b c d e f 35° 110° b 125° c 145° d 160°
Answers
GPT 3.5
To determine the measure of angle DFC, we need to find the measure of angle FAB first. Since angle FAB + angle BFC = angle DFC, we can calculate angle FAB as follows:
Angle FAB = 180° - angle BFC = 180° - 35° = 145°
Since angle FAB is an exterior angle to the triangle DFC, the measure of angle DFC is equal to the sum of its remote interior angles, which are angle FAB and angle BFC:
Angle DFC = angle FAB + angle BFC = 145° + 35° = 180°
Therefore, the measure of angle DFC is 180°.
Angle FAB = 180° - angle BFC = 180° - 35° = 145°
Since angle FAB is an exterior angle to the triangle DFC, the measure of angle DFC is equal to the sum of its remote interior angles, which are angle FAB and angle BFC:
Angle DFC = angle FAB + angle BFC = 145° + 35° = 180°
Therefore, the measure of angle DFC is 180°.