7. From the adjoining Fig. 13, calculate the remaining
angles of the parallelogram ABCD.
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Angle BAD = 80°
Angle ABC = 100°
Angle BCD = 80°
Angle ADC = 100°
Step-by-step explanation:
Ang. ABC + 80° = 180° [Linear pair]
=> ABC = 100°
Ang. ADC = Ang. ABC = 100° [Opposite angles are equal in a parallelogram]
DC is || to AB and AD is a transversal
Ang. ADC + Ang. BAD = 180° [Co-interior angles]
=> 100° + BAD = 180°
=> BAD = 80°
Ang. BCD = Ang. BAD = 80° [Opposite angles are equal in a parallelogram]
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