Answer:
[tex] x = 21 [/tex]
Step-by-step explanation:
A linear pair of angles is formed when two adjacent angles are supplementary, meaning their measures add up to [tex]180^\circ[/tex].
In this case, two angles, [tex] (6x + 5)^\circ [/tex] and [tex] 49^\circ [/tex], are the angles of a linear pair.
For them to form a linear pair, they must be adjacent and add up to [tex]180^\circ[/tex].
So, we can write the equation:
[tex] (6x + 5)^\circ + 49^\circ = 180^\circ [/tex]
Now, solve for [tex]x[/tex]:
[tex] 6x + 5 + 49 = 180 [/tex]
[tex] 6x + 54 = 180 [/tex]
[tex] 6x = 180 - 54 [/tex]
[tex] 6x = 126 [/tex]
[tex] x = \dfrac{126}{6} [/tex]
[tex] x = 21 [/tex]
So, the value of x is 21°.
