which of the following statements best describes the triangle angle sum theorem
the sum of the angles in a triangle is always 90 degrees
the sum of the angles in a triangle is always 180 degrees
the sum of the angles in a triangle is always 270 degrees
the sum of the angles in a triangle is always 360 degrees
must pick one
The statement "the sum of the angles in a triangle is always 180 degrees" best describes the triangle angle sum theorem.
find the measure of the missing angle the picture shows that b has 63 what is a
To find the measure of angle A, we need to use the triangle angle sum theorem. According to the theorem, the sum of the angles in a triangle is always 180 degrees.
Let's assume that the other two angles of the triangle are X and Y. We know that angle B has a measure of 63 degrees.
Therefore, we can set up the equation:
A + X + Y = 180
We are given that angle B has a measure of 63 degrees, so we can substitute that into the equation:
A + 63 + Y = 180
Now, to solve for A, we need to isolate it on one side of the equation. We can do that by subtracting 63 and Y from both sides:
A = 180 - 63 - Y
Since we don't have the measure of angle Y, we can't determine the exact measure of angle A. We need more information to solve for the missing angle.
pick any
Let's assume that angle Y has a measure of 45 degrees.
Using the equation A + 63 + Y = 180, we can substitute the value of Y:
A + 63 + 45 = 180
A + 108 = 180
Subtracting 108 from both sides, we find:
A = 180 - 108
A = 72
Therefore, if angle Y measures 45 degrees, then angle A measures 72 degrees.