What is the measure of angle D?
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Answer:
32°
Step-by-step explanation:
m ∠A + m ∠B + m∠ BEA = 180 The sum of the angles of a triangle = 180°
14° + 45° + m ∠BEA = 180°
59° + m ∠BEA = 180°
m ∠BEA = 121°
m ∠BEA = m ∠CED Vertical angles are =
m ∠C + m ∠CED + m ∠D = 180° The sum of the angles of a triangle = 180°
27° + 121° + m ∠D = 180°
148° + m ∠D = 180°
m ∠ D = 32°