Question

Find the measure of angle x in the figure.
Angle x measures?

Answer 1

the sum of all interior angles in a polygon, regular or not, is

18(n - 2)

where "n" is how many sides are there in the polygon, now, notice, this polygon has 7 sides, so is a heptagon, so the sum of its interior angles will be 18(7 - 2) or 900.

now, subtract all other angles from 900, and what's leftover is "x".

Answer 2

Measure of angle x is:

119°

Explanation:

The sum of all interior angles in a polygon having n sides is:

180°(n - 2)

Now, this polygon has 7 sides.

So the sum of its interior angles will be= 180°(7 - 2)

= 900°

i.e. 129°+129°+123°+122°+x+141°+137°=900°

or 781°+x=900°

or x=900°-781°

or x=119°

Hence, Measure of angle x is:

119°