The sum of the angle measures of any triangle is 180 degrees. Suppose that one angle in a triangle has a degree measure of 4x+10 and another has a degree measure of 3x+5 . Write an expression for the degree measure of the third angle in the triangle. Thanks
Mathematics · College · Thu Feb 04 2021
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To find the expression for the degree measure of the third angle in the triangle, we first need to set up an equation using the fact that the sum of the angles in a triangle is always 180 degrees.
Let's call the measure of the third angle 'y'. Then, the three angles in the triangle will add up to 180 degrees: (4x + 10) + (3x + 5) + y = 180
Now, combine like terms
Next, isolate y by subtracting (7x + 15) from both sides of the equation: y = 180 - (7x + 15)
Simplify the right side by combining like terms: y = 180 - 7x - 15
y = 165 - 7x
This expression, 165 - 7x, represents the degree measure of the third angle in the triangle.