Question

PLS HELP ME... right answers pls

Answer 1

Step-by-step explanation:

i) ABC = 90°

ii) OBC = 60°

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Answer 2

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GIVEN: ∠OAB = 32°

TO FIND: (i) ∠ACB

(ii) ∠OBC

SOLUTION:

∠DAC + ∠CAB = 90°

∠DAC + 32° = 90°

∠ DAC= 90-32°

= 58°

∠DAC = ∠ACB

58° = ∠ACB (i)

We know that the diagonals of rectangle are equal and bisect each other.

∴ OA = OB

⇒ ∠OAB = ∠OBA = 32°

Also, each angle of rectangle measures 90°

∴ ∠ABC = 90°

∠OBA + ∠OBC = 90°

⇒ 32° + ∠OBC = 90°

∴ ∠OBC = 58° (ii)

HOPE IT HELPS