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Need help and show work plz

Need help and show work plz-example-1

2 Answers

2 votes
The answer is 15 degrees
User Nahla
by
7.5k points
5 votes

Answer: (A) 15 degrees

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Step-by-step explanation:

With any parallelogram, the adjacent angles always add to 180 degrees.

(angle ADC) + (angle DCB) = 180

(angle ADC) + 120 = 180

angle ADC = 180 - 120

angle ADC = 60 degrees

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Angles 1 and 2 combine to form angle ADC by the angle addition postulate. This is just the idea of gluing smaller angles to form larger ones.

(angle 1) + (angle 2) = angle ADC

45 + (angle 2) = 60

angle 2 = 60-45

angle 2 = 15 degrees

User Alok Mali
by
7.8k points