Q. 35.0( 1 Vote )

# <span lang="EN-US

Let us name the different coordinate in the above question figure: Sum of the angles of 4-sided polygon

Sum of the angles of n-sided polygon = (n – 2) × 180°

S = (4 – 2) × 180°

S = 2 × 180°

S = 360°

In ABCD

A + B + C + D = 360°

130° + 70° + 60° + D = 360°

260° + D = 360°

D = 360° - 260°

D = 100°

Exterior Angles

FAB + DAB = 180° (linear pair of angles at a vertex)

FAB + 130° = 180°

FAB = 180° - 130°

FAB = 50°

CBE + CBA = 180° (linear pair of angles at a vertex)

CBE + 70° = 180°

CBE = 180° - 70°

CBE = 110°

DCB + DCH = 180° (linear pair of angles at a vertex)

60° + DCH = 180°

DCH = 180° - 60°

DCH = 120°

ADG + ADC = 180° (linear pair of angles at a vertex)

ADG + 100° = 180°

ADG = 180° - 100°

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