Q. 1 C5.0( 1 Vote )

Choose the correct answer:

The three exterior angles of a triangle are 130°, 140°, x° then x° is
A. 90°

B. 100°

C. 110°

D. 120°

Answer :

Angle Sum Property = A + B + C = 180°[T1]



DAC = 130° and ABE = 140°


DAC + DAB = 180° (sum of the angle on a straight line at point is 180°)


DAB = 180° - DAC


DAB = 180° - 130° = 50°


Similarly,


ABE + ABD = 180° (sum of the angle on a straight line at point is 180°)


ABD = 180° - ABE


DAB = 180° - 140° = 60°


BDB’ = DAB + DBA


(if a side of a triangle is produced, the exterior angle so formed, is equal to the sum of the two interior opposite angles)


x° = 50° + 60° = 110°


Hence, option C is correct.

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