The difference of two linear angles is 34° then the smaller angle is�

1.	The difference of two linear angles is 34° then the smaller angle is A) 49° B) 107° C) 73° D) 83°
Answer» Correct option is (C) 73° Let x & y are two linear angles. \(\therefore\) x+y = \(180^\circ\) ________(1) Given that difference of these two linear angles is \(34^\circ.\) \(\therefore\) x - y = \(34^\circ\) ________(2) By adding (1) & (2), we get 2x = \(180^\circ\) + \(34^\circ\) = \(214^\circ\) \(\Rightarrow\) x = \(\frac{214^\circ}2\) = \(107^\circ\) Put x = \(107^\circ\) in (1), we get y = \(180^\circ\) - x = \(180^\circ\) - \(107^\circ\) = \(73^\circ.\) Correct option is C) 73°

The difference of two linear angles is 34° then the smaller angle is A) 49° B) 107° C) 73° D) 83°

Answer»

Correct option is (C) 73°

Let x & y are two linear angles.

\(\therefore\) x+y = \(180^\circ\) ________(1)

Given that difference of these two linear angles is \(34^\circ.\)

\(\therefore\) x - y = \(34^\circ\) ________(2)

By adding (1) & (2), we get

2x = \(180^\circ\) + \(34^\circ\) = \(214^\circ\)

\(\Rightarrow\) x = \(\frac{214^\circ}2\) = \(107^\circ\)

Put x = \(107^\circ\) in (1), we get

y = \(180^\circ\) - x = \(180^\circ\) - \(107^\circ\) = \(73^\circ.\)

Correct option is C) 73°