In the given figure, the value of ‘a’ is A) 45° B) 75° C) 60�

1.	In the given figure, the value of ‘a’ is A) 45° B) 75° C) 60° D) 35°
Answer» Correct option is (C) 60° \(\because\) \(135^\circ\) is exterior angle whose opposite interior angles are a & \(75^\circ.\) \(\therefore\) \(a+75^\circ=135^\circ\) \((\because\) The measure of an exterior angle is equal to the sum of its opposite interior angles) \(\Rightarrow\) \(a=135^\circ-75^\circ=60^\circ\) Correct option is C) 60°

In the given figure, the value of ‘a’ is A) 45° B) 75° C) 60° D) 35°

Answer»

Correct option is (C) 60°

\(\because\) \(135^\circ\) is exterior angle whose opposite interior angles are a & \(75^\circ.\)

\(\therefore\) \(a+75^\circ=135^\circ\)

\((\because\) The measure of an exterior angle is equal to the sum of its opposite interior angles)

\(\Rightarrow\) \(a=135^\circ-75^\circ=60^\circ\)

Correct option is C) 60°