Question

Find the value of angle marked x​

Answer 1

Based on the given diagram we see that all the exterior angle is in a straight line with the interior angle.

Using the known angle measure, we know that the shape has angles of measure, 123 degrees, 94 degrees, 79 degrees, and '180 - x' degrees

Also, the sum of all the angles in a quadrilateral, any four-sided shape, is 360 degrees.

Now using the knowledge gained lets set up the equation

`123 + 94 + 79 + 180 - x = 360\\476 - x = 360\\-x = -116\\x = 116`

Therefore x is 116 degrees.

Hope that helps!