One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 10 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.

Question

One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 10 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.

Answer 1

Reiny if you going to solve the problem please give a complete solution because I knew how to figure it our, I wouldn't have been seeking for help with it. Thanks

Answer 2

what reiny means is that all angles sum to 180

so x+3x+x+10=180
slove this u get x than you get all the angle anf ofcourse your ans too

Answer 3

And I know that Reiny how you suppose to help me when you didn't even set up the solution for me to solve the problem on my own. Anyway thanks have a bless night

Answer 4

To solve this problem, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.

Let's call the smallest angle x.

According to the problem, one angle in the triangle is three times as large as the smallest angle, so we can write the equation: one angle = 3 * x.

The measure of the third angle is 10 degrees more than that of the smallest angle, so we can write another equation: another angle = x + 10.

Now, we can set up the equation using the sum of the angles in a triangle:

x + (3 * x) + (x + 10) = 180

Simplifying the equation:

5x + 10 = 180

Subtracting 10 from both sides:

5x = 170

Dividing both sides by 5:

x = 34

Now that we have found the value of x, we can substitute it back into any of the angle expressions to find the measure of the largest angle:

largest angle = 3 * 34 = 102 degrees

Therefore, the measure of the largest angle in the triangle is 102 degrees.

Answer 5

just translate into Math

smallest angle --- x°
"One angle in a triangle has a measure that is three times as large as the smallest angle. "
middle angel = 3x
" the third angle is 10 degrees more than that of the smallest angle"
third angle = x+10

Now repeat the same steps as your other problems of this type

Answer 6

The purpose of this website is not to homework or assignments as such.

We want the students to make an effort to learn how to do the problems.
That is why you will usually see some preliminary steps or ideas shown.

You had the same type of question a while back and solved it for you.
I was hoping that you looked at it and learned from it.