1. Find the unknown angles in the given figures:
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Answer:
a = 50°, b = 50° and x = 130°
Step-by-step explanation:
a = b (Angles opposite to equal sides)
But a + b + 80° = 180°
⇒ a + a + 80° = 180°
⇒ 2a = 180° - 80° = 100°
⇒ a = 100/2 = 50 ∴ b = a = 50°
x = a + 80°
(Exterior angle of a triangle is equal to sum of its opposite interior angles)
= 50° + 80° = 130°
Hence a = 50°, b = 50° and x = 130°
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