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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