Find x from the following figure.
"

Given :

Internal angles of the pentagon are 90°, 90°

External angles of the pentagon are 50°, 60°, x.

To do :

We have to find the value of x.

Solution :

We know that,

The sum of the angles on a straight line is 180°.

Sum of the internal angles in a pentagon $= 540°$.

Therefore,

From the figure,

$90°+(180-60)°+90°+(180-50)°+(180-x)° = 540°$

$180°+120°+130°+(180-x)° = 540°$

$430° + (180-x)° = 540°$

$180-x = 540°-430°$

$180-x = 110°$

$x = 180°-110°$

$x = 70°$

Tutorialspoint

Updated on: 10-Oct-2022

23 Views

Kickstart Your Career

Get certified by completing the course

Get Started