Question

Find the value of a in the parallelogram shown to the right note that the figure is not drawn to scale

Answer 1

○=> Correct answer :

$\color{plum}\tt\bold{a =16}$

○=> 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 :

$=\tt 2a+ 26 = 58$

$=\tt 2a = 58 - 26$

$=\tt 2a= 32$

$=\tt a = \frac{32}{2}$

$\hookrightarrow\color{plum}\tt a = 16$

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:

$=\tt 2 \times 16 + 26 = 58$

$= \tt32 + 26 = 58$

$=\tt 58 = 58$

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

Answer 2

Step-by-step explanation:

2a+26°+58°=180°

2a=180-26-58

2a=96

a=48

2*48+26=122