In the figure given alongside, find:
(i) ACD
(ii) ADC
(iii) DAE
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Answer:
ACD = 80°
ADC = 50°
DAE = 90°
Step-by-step explanation:
We know that , sum of angles in straight line = 180°
Therefore, ACB + ACD = 180°
100° + ACD = 180°
ACD = 180° - 100°
ACD = 80°
Using angle sum property in ∆ACD,
CAD + ADC + ACD = 180°
50° + ADC + 80° = 180°
130° + ADC = 180°
ADC = 180° - 130°
ADC = 50°
Similarly, In ∆ABC, Using angle sum property,
BAC = 40°
Now again, BAC + CAD + DAE = 180°
40° + 50° + DAE = 180°
90° + DAE = 180°
DAE = 180° - 90°
DAE = 90°
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