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What is the measure of angle D?

What Is The Measure Of Angle D class=

Sagot :

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°

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