Question

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Answer 1

Answer:

1.) Exterior angle = Sum of opposite interior angles

105° = x° + 57°

105° - 57° = x

48° = x

x = 48°

2.) In triangle ADC ,

angle CAD + angle ADC + angle ACD = 180° ( Angle Sum property)

40° + 107° + x = 180°

147° + x = 180°

x = 180° - 147°

x = 33°

x + angle BCD + y = 180° ( linear pair)

33° + 65° + y = 180°

98° + y = 180°

y = 180° - 98°

y = 82°

I hope it will help you