The value of x is 10, and the measure of the angle x = 10 degrees, 5x = 50 degrees and 2x = 20 degrees.
Given that,
The measure of three angles in the given polygon is as follows;
x degrees, 5x degrees, 2x degrees, and the third angle is equal to 110 degrees.
We have to find
The value of x and the missing angle measures of the polygon.
According to the question,
To find the value of x following all the steps given below.
The sum of the given three measure angles is equal to the sum of angles which is 180 degrees.
Then,
[tex]\rm 5x+2x+110=180\\\\7x=180-110\\\\7x=70\\\\x=\dfrac{70}{7}\\\\x = 10[/tex]
The value of x is 10.
Therefore,
The measure of x is 10 degrees.
The measure of 5x = 5(10) = 50 degrees.
The measure of 2x = 2(10) = 20 degrees.
Hence, The value of x is 10, and the measure of the angle x = 10 degrees, 5x = 50 degrees and 2x = 20 degrees.
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