Question

The diagonals AC and BD of rectangle ABCD intersect in point O. If m∠CAB = 25° then find m∠DAC and m∠ACD.

Answer 1

Answer:

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Answer 2

Answer:

∠DAC = 65°

∠ACD = 25°

Step-by-step explanation:

Given :

The diagonals AC and BD of rectangle ABCD intersect in point O.

m∠CAB = 25°

to find

m∠DAC and m∠ACD

∠A = ∠DAB = 90°  ( Rectangles have all 4 angles equal to 90°)

=> ∠DAC + ∠CAB = 90°

=> ∠DAC + 25° = 90°

=>  ∠DAC = 65°

AB ║ CD

& AC intersect it

=> ∠ACD = ∠CAB

=> ∠ACD = 25°