An angle is 102° more than its supplement. What is the measure of the angle? If F is in the interior of and and m∠APB = (5x +11)°, m∠APF = (6x 6)° m∠FPB = (9x 23)°: ∠APB – – Draw a diagram for x What is the m∠FPB, m∠APF and m∠APB? Answer Key Acute 17° 82° Obtuse, straight 57° 27° Obtuse, reflex 33° 134° Never 5.8666... 82° 2 Always 63°, 117°, 63° 7 128°, 128°, 52° Never b & d x = 17 Sometimes 30° x = 7 Right 180° x = 16 Obtuse 155° x = 13 Obtuse, reflex 90° x = 16 & y = 6 Sometimes 107° x = 4 & y = 6 Never 120° 126°, 54°, 54° Always 97° 147°, 147°, 33° Always 25° x = 11 Yes ∠BCD ≅ ∠EFG 150° x = 7 No; angle measures are 83° x = 13 not equal 72° x = 10 No; not enough info 72° x = 20 & y = 5 No; not enough info True x = 10 & y = 20 Yes; ∠TUV ≅ ∠WXY True 39°, 39° No; angle measures are 73° 44°, 44° not equal 83° 112°, 56° 26° 135° 46°, 92° 72° x = 24 55° 23° x = 6 12° 123° x = 10 113° 193° x = 9 81° 15 48°, 96° False 88°, 176° 3 False 83°, 83° 3 33° 53°, 53° 71° 137° x = 10 14° 150°
An angle is 102° more than its supplement. What is the measure of the angle? If F is in the interior of ∠APB and m∠APB = (5x +11)°, m∠APF = (6x – 6)° and m∠FPB = (9x – 23)°: Draw a diagram for x What is the m∠FPB, m∠APF and m∠APB? Answer Key Acute Obtuse, straight Obtuse, reflex Never Always Never Sometimes Right Obtuse Obtuse, reflex Sometimes Never Always Always Yes ∠BCD ≅ ∠EFG No; angle measures are not equal No; not enough info No; not enough info Yes; ∠TUV ≅ ∠WXY No; angle measures are not equal 26° 72° 23° 123° 193° 15 3 3 71° 14° 17° 57° 33° 5.8666... 2 7 b & d 30° 180° 155° 90° 107° 120° 97° 25° 150° 83° 72° 72° True True 73° 83° 135° 55° 12° 113° 81° False False 33° 137° 150° 82° 27° 134° 82° 63°, 117°, 63° 128°, 128°, 52° x = 17 x = 7 x = 16 x = 13 x = 16 & y = 6 x = 4 & y = 6 126°, 54°, 54° 147°, 147°, 33° x = 11 x = 7 x = 13 x = 10 x = 20 & y = 5 x = 10 & y = 20 39°, 39° 44°, 44° 112°, 56° 46°, 92° x = 24 x = 6 x = 10 x = 9 48°, 96° 88°, 176° 83°, 83° 53°, 53° x = 10