in the adjoining figure,find
1 <ACD
2<BAD
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Answer:
Angle ADC + Angle ADB = 180° (Linear Pair)
80° + Angle ADB = 180°
Angle ADB = 180° – 80°
Angle ADB = 100°
Angle CAD + Angle ACD = Angle ADB
60° + Angle ACD = 100°
Angle ACD = 100° – 60°
Angle ACD = 40°
In ∆ ABD,
Angle ADB + Angle ABD + Angle BAD = 180° (Angle Sum Property of ∆)
100° + 30° + Angle BAD = 180°
130° + Angle BAD = 180°
Angle BAD = 180° – 130°
Angle BAD = 50°
Angle ACD = 40° and Angle BAD = 50°.
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