Respuesta :

35 Degrees. This is because the a straight line is 180 degrees. Knowing this, 180-100= 80. 80+65= 145. 180-145=35 which is the missing angle.

Answer:

The Missing Angle is 35°

Step-by-step explanation:

Given :-

  • DFE = 65° , RDE = 100°

To Find :-

  • DEF (?)

Solution :-

  • We know that angle made by a straight line is 180°

So ,

∠ RDE + ∠ FDE = 180°

100° + ∠ FDE = 180°

FDE = 80°

The sum of all angles in a triangle is 180°

Therefore ,

∠ DEF + ∠ DFE + ∠FDE = 180°

∠ DEF + 65° + 80° = 180°

∠ DEF = 35°