Lines AB and CD are parallel. Find the measures of the three angles in triangle ABF.

m(∠FBA) = 42°

m(∠FAB) = 23°

m(∠AFB) = 115°

Step-by-step explanation:

Lines AB and CD are parallel.

m(∠FCD) = m(∠FBA) = 42° [Alternate interior angles]

m(∠CDF) + m(∠CDE) = 180° [Linear pair of angles]

m(∠CDF) = 180° - 157°

               = 23°

m(∠CDF) = m(∠BAF) = 23° [Alternate interior angles]

m(∠AFB) + m(∠FBA) + m(∠BAF) = 180° [Sum of interior angles of a triangle]

m(∠AFB) + 42° + 23° = 180°

m(∠AFB) = 180° - 65°

               = 115°

Therefore, m(∠FBA) = 42°

                  m(∠FAB) = 23°

                  m(∠AFB) = 115°

answer: c i think

step-by-step explanation:

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2