Question

In the figure, chord BD is perpendicular to the diameter AC. Find the measures of the following angles.a) < BAC b) < BCD c) < ADC d) < CDM e) < BAP​

Answer 1

Answer:

∠BAC=∠CAD=20°.

∠BCD=140°.

(180−40=140 cyclic quadrilateral)

∠ADC=90°.

(angle of the semicircle)

∠CDM=∠BAC=20°.

(angle in the same arc).

∠BAP=140°. (180−40=140, linear pair).

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