The sum of the measures of the four angles of a quadrilateral is 360°. Find the measure of the angle labeled X.
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x+30+x+2/5x+3/5x=360
combine like terms
3x +30 =360
-30 -30
subtract both sides
3x=330
3x/3=330/3
x=110
simplify
The value of x angle will be equal to 110 degrees.
A quadrilateral is a shape made up of four sides having the sum of the angles 360 degrees. One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that the sum of the measures of the four angles of a quadrilateral is 360°. The value of x will be calculated as:-
x+30+x+2/5x+3/5x=360
Combine like terms.
3x +30 =360
-30 -30
Subtract both sides.
3x=330
3x/3=330/3
x=110
Therefore, the value of x angle will be equal to 110 degrees.
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