Question

119° 100° 88° 116° 11. Determine the value of x. A. 117° B. 59° C. 63° D. 90°

Answer 1

We have that the shape is a pentagon of sorts, and we will have that the sum of the internal angles of a pentagon equals 540°.

Knowing this, we will find the missing interior angle in the shape:

100° + 119° + 88° + 116° + a = 540°

Then, we will have that the missing side we named a, will have a measure of 117°.

Now, by supplementary angles, we will have the following:

117° + x = 180°

When we solve for x, we will have that is has a measure of 63°

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You can determine the total sum of interior angles by the function:

`(n-2)\cdot180`

Where n is the number of sides the shape has.