SOLUTION: The measure of the angles of a triangle are x+2,x+4, and 2x + 10. Find the measure of each angle.

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Question 73469: The measure of the angles of a triangle are x+2,x+4, and 2x + 10. Find the measure of each angle.
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
Angle 1: +x%2B2+
Angle 2: +x%2B4+
Angle 3: +2x+%2B+10+
The sum of the angles in any given triangle is 180 degrees.
Add the measures of the angles and set them equal to 180
+x%2B2+%2B+x%2B4+%2B+2x+%2B+10+=+180+
Add the x terms
+4x+%2B+2+%2B+4+%2B+10+=+180+
add the Constants
+4x+%2B+16+=180+
subtranct 16 from both sides.
+4x+=+164+
divide both sides by 4
+x+=+41+
YOU ARE NOT FINISHED. The question is asking you to find the measures of the angles. Substitute the value of x back into the values.
Angle 1: +x%2B2+=+41+%2B+2+=+43+
Angle 2: +x%2B4+=+41+%2B+4+=+45+
Angle 3: +2x+%2B+10+=+2%2841%29+%2B+10+=+82+%2B+10+=+92
Now Check you answer
+43+%2B+45+%2B+92+=+180+
+88+%2B+92+=+180+
+180+=+180+
YES!!!