For triangle MNP, find the value of x and the measure of each of the three angles.
at the top of the triangle is X degrees and that is angle M
at the bottom left of the triangle is (2x-1) degrees and that is angle P
at the bottom right of the triangle is (2x+1) degrees and that is angle N
Please help me. I do not understand.
To find the value of x and the measure of each of the three angles in triangle MNP, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Let's set up an equation based on the given information:
x + (2x - 1) + (2x + 1) = 180
Now, let's solve for x:
5x = 180
x = 36
So, x is equal to 36.
Now, let's substitute x back into the expressions for angles M, N, and P:
Angle M = x = 36 degrees
Angle N = 2x + 1 = 2(36) + 1 = 73 degrees
Angle P = 2x - 1 = 2(36) - 1 = 71 degrees
Therefore, the value of x is 36, and the measure of each of the three angles in triangle MNP is:
Angle M = 36 degrees
Angle N = 73 degrees
Angle P = 71 degrees
To find the value of x and the measure of each of the three angles in triangle MNP, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Let's start by assigning variables to the angles:
Angle M = x degrees
Angle P = (2x - 1) degrees
Angle N = (2x + 1) degrees
We know that the sum of the three angles in a triangle is 180 degrees, so we can set up an equation:
x + (2x - 1) + (2x + 1) = 180
Now, let's solve this equation to find the value of x:
x + 2x - 1 + 2x + 1 = 180
5x = 180
x = 36
Therefore, the value of x is 36.
Now that we know the value of x, we can substitute it back into the expressions for the angles to find their measures.
Angle M = x = 36 degrees
Angle P = 2x - 1 = 2(36) - 1 = 71 degrees
Angle N = 2x + 1 = 2(36) + 1 = 73 degrees
So, the measure of each of the three angles in triangle MNP is:
Angle M = 36 degrees
Angle P = 71 degrees
Angle N = 73 degrees
Thank you
you just have to remember that the angles of a triangle add up to 180 degrees. So, with angles
M+P+N = 180
x + 2x-1 + 2x+1 = 180
Now it's easy to find x, the evaluate the actual angle measures.