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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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