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3 years ago

I need help please!!

Mathematics

1 answer:

Masteriza [31]3 years ago

7 0

Answer:

∠ CAD = 83°

Step-by-step explanation:

In a parallelogram. opposite angles are congruent.

∠ CAB = ∠ ACD = 57° ( Alternate angles )

The sum of the 4 interior angles = 360°

and

∠ ABC + ∠ CDA = 40° + 40° = 80°

Thus

∠ BCD + ∠ CAD = 360° - 80° = 280°, then

∠ DAB = 140° ( congruent opposite angles )

Thus

∠ CAD = 140° - ∠ CAB = 140° - 57° = 83°

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