EDIT-- for those in the future i just took the test and the answer was 118 degrees
m∠A = 118 degrees (Angle ∠A is 118 degrees when you substitute x = 35 into the expression (3x + 13)).
In this problem, we are given three angles of a triangle: ∠A, ∠B, and ∠C, expressed in terms of the variable x. We need to find the measure of angle ∠A.
1. Start with the given information:
- ∠A = (3x + 13) degrees
- ∠B = (x - 8) degrees
- ∠C = x degrees
2. We know that the sum of the angles in any triangle is always 180 degrees. So, we can write an equation based on this fact:
∠A + ∠B + ∠C = 180
3. Substitute the expressions for each angle:
(3x + 13) + (x - 8) + x = 180
4. Now, simplify and solve for x:
3x + 13 + x - 8 + x = 180
Combine like terms:
5x + 5 = 180
Subtract 5 from both sides to isolate 5x:
5x = 180 - 5
5x = 175
Divide by 5 to find the value of x:
x = 35
5. Now that we've found the value of x, we can find the measure of ∠A by substituting x back into the expression for ∠A:
∠A = (3x + 13)
∠A = (3 * 35 + 13)
∠A = 105 + 13
∠A = 118 degrees
So, the measure of angle ∠A is 118 degrees.
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Answer:
Step-by-step explanation:
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Perimeter =a+b+c
13.9 + 10.4 + 8.5 =
32.8 in (perimeter)
32.8 is the perimeter of that triangle