○=> Correct answer :
[tex]\color{plum}\tt\bold{a =16}[/tex]
○=> Steps to derive the correct answer :
Given :
▪︎Measure of an angle in a parallelogram = 58°
▪︎Measure of the angle opposite this angle = (2x+26)°
We know that :
▪︎Opposite angles in a parallelogram are equal.
Which means :
[tex] =\tt 2a+ 26 = 58[/tex]
[tex] =\tt 2a = 58 - 26[/tex]
[tex] =\tt 2a= 32[/tex]
[tex] =\tt a = \frac{32}{2} [/tex]
[tex]\hookrightarrow\color{plum}\tt a = 16[/tex]
Thus, the value of a = 16
Let us now place 16 in the place of a and check whether or not we have found out the correct value of a:
[tex] =\tt 2 \times 16 + 26 = 58[/tex]
[tex] = \tt32 + 26 = 58[/tex]
[tex] =\tt 58 = 58[/tex]
Since the values in both the side match, we can conclude that we have found out the correct value of a.
▪︎Therefore, the value of a = 16
