Question
These triangles are congruent. If 
is 48°, then the measure of 
is
- 48°
- 38°
- 84°
- 94°
Hint:
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° .
Related Questions to study
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________.
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?
