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in Linear Equations by (38.9k points)
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The difference of two linear angles is 34° then the smaller angle is 

A) 49° 

B) 107° 

C) 73° 

D) 83°

2 Answers

+1 vote
by (57.0k points)
selected by
 
Best 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 = \(180^\circ\) - \(107^\circ\) = \(73^\circ.\)

+1 vote
by (36.7k points)

Correct option is  C) 73°

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