Mathematics
Grade9
Easy

Question

If the triangles in the figure are similar, then what is the measure of angle C?

  1. 100°
  2. 80°
  3. 50°
  4. 30°

hintHint:

Find the value of  ∠DPC and by using sum of angles in a triangle is 180° Find ∠C .

The correct answer is: 100°


    Since triangles are similar,
    ∠DPC = 50° (Vertically opposite angles are equal)
    In ΔDPC, the angles are ∠DPC = 50°(from above) ∠D = 30°  (given) and angles ∠C
    By angle sum property 180°
    ∠DPC  +∠D +∠C = 180°
    50° + 30° + ∠C = 180°
    ∠C = 180° - 80° = 100°.
    Therefore, value of ∠C is 100° .

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