Respuesta :
Answer:
20°
Step-by-step explanation:
The sum of all triangles must equal 180 degrees.
The measure of two angles of a triangle are each four times the measure of the third angle.
2x+x/4=180
The equation above illustrates a way to solve for X which represents the the independent angle measurement from the two angles.
x = 80
Above, we solved for x by simplifying both sides of the equation and then isolating x. So hmm...does 80 make sense?
80 / 4 = 20. So it is four times the measure of the 3rd angle. But does it all equal to 180?
2 * 80 + 20 = 180.
The angle of the third angle is 20 degrees.
The total number of triangles must be 180 degrees, and the two angles of a triangle are measured every four times the third angle measurement. So, the calculation can be defined as follows:
[tex]\to \bold{2x+ \frac{x}{4}=180}[/tex]
The above equation illustrates a way of resolving the indie angle measurement from both angles for X.
[tex]\bold{x = 80}[/tex]
Above we solved x through simplification and isolation of the x on both sides of the equation.
So 80 is meaningful.
[tex]\frac{80}{4 }= 20.[/tex] Thus, 4 times the 3rd angle measurement. But it all equates to 180.
[tex]\to \bold{ 2+4 = 2 \times 80 + 20.}[/tex]
Therefore, the third angle is 20 degrees.
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