Question

The measures of the angles of a triangle are represented by x+26, 3x-7 and 8x-7. What is the measure of the largest angle of this triangle?
WORK MUST BE SHOWN IF ANY

Answer 1

What is the sum of all three interior angles of a triangle?

Add together the three angles given as functions of x. This sum must equal the sum of the three interior angles of a triangle. Once you have that equation, the solution should be relatively easy. Please try it.

Answer 2

Do add all the numbers?

Answer 3

So not do

Answer 4

Do you have a trig textbook available? Practically any such text would give you the sum of the three angles of any triangle. Hint: The sum of the four interior angles of a square is 360 degrees.

Add the three unknown interior angles together as shown here: x + 26 + 3x - 7 + 8x - 7. You'll get an expression in x. Equate this expression to the sum of the interior angle of any triangle. Solve the resulting equation for x.

Answer 5

I'm doing geometry

Answer 6

You should be able to find the same info from a geometry textbook.

Answer 7

Okay but I just write x + 26 + 3x - 7 + 8x - 7. and then solve for x?

Answer 8

You're on the right track here, but that alone is insufficient. Please find out what the sum of the interior angles of any triangle is. (If you need help with that, perhaps I could give you some pointers.)

So, yes, you add up those three angles that you've just written out. Follow that with an "=" sign, and follow that with the sum of the interior angles of any triangle (a numeric value).

Answer 9

I'd suggest you do a Google search for "sum of interior angles of a triangle."

Answer 10

so would it = 180?

Answer 11

or 360?

Answer 12

Right you are. Now create the necessary equation (with 180 on the right side) and solve it for x.

Answer 13

Please don't guess. If you're not sure, do an Internet search, or look in your textbook.

Answer 14

huh?

Answer 15

I think you know what I meant. First you asked whether that sum was 180 degrees; then you asked whether it was 360.

Answer 16

Do a Google search for "sum of interior angles of a triangle" and see where that takes you.