The measures of the three angles of a triangle are given by 4x-1, 2x+1, and 6x. What is the measure of the largest angle?

Question

Maverick Smith · Accepted Answer

#90^@# The sum of the three angles of a triangle always adds up to #180^@#. #=> (4x-1)+(2x+1)+6x=180# #=> 12x=180# #=> x=15# #4x-1=(4xx15)-1=59^@# #2x+1=(2xx15)+1=31^@# #6x=6xx15=90^@# Hence, the largest angle is #90^@#

Autumn Armstrong · Answer

undefined The measure of the largest angle of the triangle can be found by comparing the expressions for the three angles and determining which one is the largest.

The expressions for the three angles are:
1. $4x - 1$
2. $2x + 1$
3. $6x$

To find the largest angle, we need to determine the maximum value among these expressions. By comparing them, we can see that the expression $6x$ represents the largest angle because it has the highest coefficient of $x$.

Therefore, the measure of the largest angle of the triangle is $6x$.

Carson Arnold · Answer

undefined To find the measure of the largest angle in the triangle, we need to find the maximum value among the expressions 4x-1, 2x+1, and 6x.

Comparing the expressions:

4x - 1
2x + 1
6x

We can find the maximum value by determining the largest expression when the variables are substituted with appropriate values.

To do this, let's set up inequalities:

4x - 1 > 2x + 1
4x - 1 > 6x

Solving these inequalities will give us the range of values for x. After finding the value of x, we can substitute it into the expressions to find the measure of the largest angle.