ABCD is a cyclic quadrilateral AB and DC are produced to meet at P If ang ADC 70 deg and ang DAB 60 ...........

Quantitative Aptitude ( CCS) Geometry

ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. If ∠ADC = 70° and ∠DAB = 60°, then the ∠PBC + ∠PCB is

130°

150°

155°

180°

छोटे Courses बड़े Results

Master Geometry

Prepare through Micro-courses

Try Now

Explanation:

Given, ∠ADC = 70°
∠ADC + ∠ABC = 180°
∠ABC = 180° – ∠ADC = 180° – 70° = 110°
∴ ∠PBC = 180° – ∠ABC = 180° – 110° = 70°
And, ∠DAB = 60°
∠DAB + ∠DCB = 180°
∠DCB = 180° – ∠DAB = 180° – 60° = 120°
∴ ∠PCB = 180° – ∠DCB = 180° – 120° = 60°
∴ ∠PBC + ∠PCB = 70° + 60° = 130°