1.

Using the information in the adjoining figure, find the measures of ∠a, ∠b and ∠c.

Answer»

i. ∠c + 100° = 180° [Angles in a linear pair]

∴ ∠c = 180° – 100° 

∠c = 80°

ii. ∠b = 70° [Vertically opposite angles] 

iii. ∠a + ∠b +∠c = 180° [Sum of the measures of the angles of a triangle is 180°] 

∠a + 70° + 80° = 1800 

∴ ∠a = 180° – 70° – 80° 

∴ ∠a = 30° 

∴ ∠a = 30°, ∠b = 70°,∠ c = 80°



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