Question
In a ΔDEF, ∠D = 45°, ∠E = 2∠F. What is the value
of ∠F?Solution
Let ∠F = x. Then, ∠E = 2x and ∠D = 45°. As we know, ∠D + ∠E + ∠F = 180° (Angle sum property) Or, 45° + 2x + x = 180° Or, 45° + 3x = 180° So, 3x = 135° Thus, x = 45°. So, ∠F = 45°. Hence, the correct option is d.
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