Question

1. If ∠AOB and ∠BOC are linear pair angles, and ∠AOB = 60 and ∠BOC = 3x, find the x.
OPTIONS:
a) 40°
b) 90°
c) 60°
d) 45°

Answer 1

Answer:

a) $40^{0}$

Step-by-step explanation:

Answer 2

$\underline{\blue { Linear \:pair :}}$

$The \:sum \:of \: two \: adjacent \: angles \\is \:180\degree , \:they \:are \: called \:a \: linear \:pair \\of \: angles.$

$Here, \angle {AOB} = 60\degree, \:and \: \angle {BOC} = 3x$

$\implies \angle {AOB} + \angle {BOC} = 180\degree$

$\implies 60\degree + 3x = 180\degree$

$\implies 3x = 180\degree - 60\degree$

$\implies 3x = 120\degree$

$\implies x =\frac{ 120\degree}{3}$

$\implies x = 40\degree$

Therefore.,

$Option \: \pink { ( a ) } \:is \: correct .$

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