Question

in a parallelogram ABCD angle DAC is equal to 40 degree angle abc is equal to 60 degree find angle ADC angle BAC angle ACD​

Answer 1

Answer:

angle BAC (z) = 80°

angle ADC (x) = 60°

angle ACD (y) = 80°

Step-by-step explanation:

we have to find - , ,

AD || AB

angle ABC + angle BAD = 180° (co-interior angle)

angle ABC + (angle BAC + angle CAD) = 180°

60° + z° + 40° = 180°

z° = 180° -100°

z° = 80°

AB || CD

angle BAC = angle ACD (alternate interior angles)

y° = 80°

Now,

angle ADC + angle DAC + angle ACD = 180° (angle sum property of ∆)

x° + 40° + 80° = 180°

x° = 180° - 120°

x° = 60°