Use the fact that the sumof the angles in a triangle is 180 degrees for this question:Two angles of a triangle have the same measure and the third one is 36° greater thanthe measure of each of the other the. Find the measure of the 2 smaller angles and the measure of a larger angle

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Use the fact that the sumo f the angles in a triangle is 180 degrees for this question:Two angles of a triangle have the same measure and the third one is 36° greater thanthe measure of each of the other the. Find the measure of the 2 smaller angles and the measure of a larger angle

Solution

Notation: Let x the measure of each of the two smaller angles

For this case we can set up the following equations:

[tex]x+x+(x+36)=180[/tex]

And now we just need to solve for x and we got:

[tex]3x=144[/tex][tex]x=\frac{144}{3}=48º[/tex]

And for the larger angle we got:

[tex]x+36=48+36=84º[/tex]

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