The measures of two angles of a triangle are each four times the measure of the third angle. What is the measure of the third angle? (hint: The sum of the angle measure of a triangle are 180°)

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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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