Mathematics
Grade9
Easy

Question

These triangles are congruent. If angle A is 48°, then the measure of angle F is

  1. 48°
  2. 38°
  3. 84°
  4. 94°

hintHint:

Using congruency find the corresponding angle of A in triangle DEF and angle D is given
Using sum of angles in a triangle equals to 180° find the value of angle F.

The correct answer is: 94°


    Given, the two triangles are congruent 

    By notations in the diagram we find ∠A = ∠D  as they are corresponding angles of congruent triangles.

    ∠A = ∠D = 48 ( given)

    Using sum of angles in a triangle is 180° .

    From the above triangle ∠E = 38 °(given) , ∠D = 48° and ∠F are the angles.

    ∠F + 38° + 48° = 180° (sum of angles in a triangle)

    ∠F + 86° = 180°

    ∠F = 180° - 86° = 94°

    Therefore, measure of ∠F is 94° .

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