Answer:
right angle
acute
acute
obtuse
obtuse
Step-by-step explanation:
Since angle <ABC is a straight line, the angle is 180 degrees. This means all the angles in between should also add up to 180 degrees. Using this knowledge you can solve for the value of angle <FBE which is going to be equal to 180 - (40 + 25 + 50) = 65.
< DBF = <DBE + <EBF
< DBF = 25 + 65 = 90 (right angle)
<EBD = 25 (given) (acute)
<DBC = 50 (given) (acute)
<ABE = <ABF + <FBE
<ABE = 40 + 65
<ABE = 105 (obtuse)
<CBF = <CBD + <DBE + <EBF
<CBF = 50 + 25 + 65
<CBF = 140 (obtuse)
