Question
These two triangles are congruent. If 
is 40°, then the measure of 
is
- 40°
- 50°
- 90°
- 45°
Hint:
Using congruency of triangles, Find the corresponding angle of C in the second triangle .
Using sum of angles in a triangle is 180 degree property find angle F.
The correct answer is: 50°
Given, the two triangles are congruent
By notations in the diagram we find ∠C = ∠E as they are corresponding angles of congruent triangles.
∠E = ∠C = 40°( given)
Using sum of angles in a triangle is 180° .
From the above triangle ∠E = 40 ° , ∠D = 90° and ∠F are the angles.
∠F + 90° + 40° = 180° (sum of angles in a triangle)
∠F + 130° = 180°
∠F = 180° - 130° = 50°
Therefore, measure of ∠F is 50° .
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?
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