1. In cyclic quadrilateral ABCD, diagonals AC and BD intersect
at P. If angle DBC = 70° and angle BAC = 30°, then find angle BCD.
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Step-by-step explanation:
<DBC=<DAC(angles in same segment)
70°=<DAC
<DAB+<BAC=180°(opposition angles are equal in cyclic quadrilateral)
<DAB=<DAC+<BAC
=70°+30°
<DAB=100°
<DAB+<BAC=180°
100°+<BAC=180°
<BAC=180-100
<BAC=80°
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