Question

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Answer 1

Answer:

40

70

65

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Answer 2

Answer:

40°, 70°, and 65°

Explanation:

We know that Angle ABD, Angle DBE, and Angle EBC lie on a straight line. So their sum would be 180°.

(i) If Angle ABD = 70° and Angle DBE = 70°, then

Angle ABD + Angle DBE + Angle EBC = 180°

70°+70°+ Angle EBC = 180°

Angle EBC + 140° = 180

Angle EBC = 180° - 140

Angle EBC = 40°

(ii) If Angle ABD= 50° and Angle EBC = 60°, then

Angle ABD + Angle DBE + Angle EBC = 180°

50°+ Angle DBE + 60° = 180°

Angle DBE + 110° = 180

Angle DBE = 180° - 110°

Angle DBE = 70

(iii) If Angle ABD= 35° and Angle DBE= 80°, then

Angle ABD + Angle DBE + Angle EBC = 180°

35°+80°+ Angle EBC = 180°

Angle EBC + 115° = 180°

Angle EBC = 180°-115°

Angle EBC = 65°