The angles of a triangle measure x + 1, x + 4, and 2x + 7. Find the measure of each angle.
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The angles of a triangle measure x + 1, x + 4, and 2x + 7. Find the measure of each angle.
help meee
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Answer:
the measures of the angles are 43 degrees, 46 degrees, and 91 degrees.
Step-by-step explanation:
The sum of the angles in a triangle is always 180 degrees. So, we can write an equation using the measures of the angles:
x + 1 + x + 4 + 2x + 7 = 180
Simplifying and solving for x:
4x + 12 = 180
4x = 168
x = 42
Now that we know x, we can find the measure of each angle by substituting x into the expressions for each angle:
x + 1 = 42 + 1 = 43
x + 4 = 42 + 4 = 46
2x + 7 = 2(42) + 7 = 91
Therefore, the measures of the angles are 43 degrees, 46 degrees, and 91 degrees.
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