What is the correct classification for each given angle?



Drag and drop the answer into the box to match each angle.

∠AFB
∠DFB
∠CFD

The choices are Acute, Straight, Right, and Obtuse.

What is the correct classification for each given angle Drag and drop the answer into the box to match each angle AFB DFB CFD The choices are Acute Straight Ri class=

Respuesta :

The meaning of the options are:

  • Acute: an angle between 0 and 90 degrees;
  • Straight: and angle of 180 degrees;
  • Right: an angle of 90 degrees
  • Obtuse: an angle of more than 90 degrees

So, AFB is acute, because it's and angle of 48 degrees, between it's complementary to BFC and they for a right angle.

DFB is obtuse, because it's the right angle DFC plus the angle CFB

Finally, CFD is right (we can only deduce this by looking at the picture)

The correct classification for the given angles are:

  • ∠AFB = Acute angle
  • ∠DFB = Obtuse angle
  • ∠CFD = Right angle

An acute angle is the angle between two lines that measures less than 90 degrees.

When the given diagram is observed, ∠AFB = 90 - 42°

                                                                          = 48°

 since  ∠AFB = 48° is less than 90°, its an acute angle.

An obtuse angle is an angle which is less than 180° but greater than 90°

When the given diagram is observed, ∠DFB = 90° + 42°

                                                                          = 132°

Since ∠DFB is 132°, which is greater than 90° and less than 180°, its an obtuse angle.

A right angle is an angle that is equal to 90° representing a quarter turn.

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