If all three angles of a triangle have the same measure, what is that measure?

Question

A. 60 degrees
B. 65 degrees
C. 70 degrees
D. 75 degrees

Answer 1

The sum of the three angles in a triangle is 180.

If all three angles have the same measure, which we'll call "x", then to figure it out, you solve this:

x + x + x = 180
3x = 180
x = 60

Answer 2

We can extend this to figures of more than three sides.
Consider the square. It has four equal sides, and four equal angles. Any polygon with these two characteristics is called regular.
The sum of the interior angles of any polygon depends on the number of sides and is given by 180*(n-2), where n is the number of sides. So for a triangle, n=3, we get the sum of the interior angles to be 180*(1) = 180.
If the polygon is regular as well(meaning each angle has equal measure and each side has equal length), then we can find the measure of any interior angle by dividing the sum by the number of sides. So for an equilateral triangle, we have 180(3-2)/3 = 60 degrees. For a square, we have 180*(4-2)/4 = 360/4 = 90 degrees. For a regular pentagon, we have 180*(5-2)/5 = 108 degrees.
If you want to know the answer in radians instead of degrees, simply replace 180 with pi.

Answer 3

The sum of the three angles in a triangle is 180.

If all three angles have the same measure, you solve this:

x + x + x = 180
3x = 180

but if you are in 3-dimensional geometry than the angles of a triangle are equal to 270 so each angle is 90 degrees
x = 60

Answer 4

All triangle's angles add up to 180 degrees. You can remember this by the 45-45-90 triangles or 30-60-90 triangles

So, if all angles are equal they are 180/3=60

So, the answer is A.

Answer 5

Since the angles add up to 180 degrees, then the answer is A.60. Only 60+60+60=180.

Answer 6

A. the total measure of a triangle should be 180. so, it's 60.

Answer 7

you are talking about an equilateral triangle in which all sides measure 60 degrees.

Answer 8

a.60 degrees

Answer 9

A. pi/3 radians (or 60degrees)