using the information in figure 3.12,find the measures of /_a, /_b, /_c
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In the given triangle
a + b + c = 180° …………(1)
c + 100° = 180° ……….(2) [angles in linear pair]
⇒ c = 180° - 100°
⇒ c = 80°
b = 70° ……………..(3) [opposite angles are equal]
Putting value of b and c in (1)
⇒ a + 70° + 80° = 180°
⇒ a = 180° - 150°
⇒ a = 30°
In the given triangle
a + b + c = 180° …………(1)
c + 100° = 180° ……….(2) [angles in linear pair]
⇒ c = 180° - 100°
⇒ c = 80°
b = 70° ……………..(3) [opposite angles are equal]
Putting value of b and c in (1)
⇒ a + 70° + 80° = 180°
⇒ a = 180° - 150°
⇒ a = 30°
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