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

Question

asked Feb 9, 2022 72.1k views

2 Answers

TrN · Answer 1 · 2022-02-15T16:26:32+0000

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 :

$=\tt 2a+ 26 = 58$

$=\tt 2a = 58 - 26$

$=\tt 2a= 32$

$=\tt a = (32)/(2)$

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

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:

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

$= \tt32 + 26 = 58$

$=\tt 58 = 58$

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