Question

find the value of x
in this figure​

Answer 1

Answer:

x=13

Step-by-step explanation:

3x-2=50-x

do by this method you will definitely get your answer

Answer 2

Solution:

In the given figure, the main property to be used is the opposite angle property of a parallelogram.

This means that:

$\sf{(50-x)^o=(3x-2)^o}$

$\sf{=50-x=3x-2}$

Moving the variables to the RHS and constants to the LHS:

$\sf{=50+2=3x+x}$

$\sf{52=4x}$

$\sf{x=\dfrac{52}{4}}$

$\sf{x=13}$

$\bf{Hence\:the\:value\:of\:x\:is\:13.}$

Verifying the answer:

Substituting the values in the angles:

50 - x = 50 - 13 = 37°

3x - 2 = (3 x 13) - 2 = 39 - 2 = 37°

Hence our answer is correct. ✔

Some common properties of a parallelogram:

⇒ The opposite pair of angles of a parallelogram are equal in measure.

⇒ The measure of the adjacent angles of a parallelogram is 180 degrees.

⇒ The opposite pairs of sides of a parallelogram are equal.