In Triangle MNP, the measure of angle M is 24degrees, the measure of angle N is five times the measure of P, find the measure of angle N and angle P.
To find the measure of angle N and angle P, we need to use the fact that the sum of the angles in a triangle is 180 degrees.
Let's assume that the measure of angle P is x degrees.
Given that the measure of angle M is 24 degrees, we can determine the measure of angle N.
Since the measure of angle N is five times the measure of angle P, we have:
N = 5P
Now, using the fact that the sum of the angles in a triangle is 180 degrees, we can set up the equation:
M + N + P = 180
Substituting the values we have:
24 + (5P) + P = 180
Combining like terms:
24 + 6P = 180
Now, subtracting 24 from both sides:
6P = 156
Dividing both sides by 6:
P = 26
We have found the measure of angle P to be 26 degrees.
Substituting this value into the equation N = 5P:
N = 5(26)
N = 130
Thus, the measure of angle N is 130 degrees and the measure of angle P is 26 degrees.
To find the measure of angle N and angle P in Triangle MNP, we need to use the information given.
We know that the measure of angle M is 24 degrees. Let's represent the measure of angle P as "x".
According to the problem, the measure of angle N is five times the measure of angle P. So the measure of angle N can be represented as 5x.
In any triangle, the sum of the angles is always 180 degrees. So we can write the equation:
Angle M + Angle N + Angle P = 180
Substituting the given measures into the equation:
24 + 5x + x = 180
Combining like terms:
6x + 24 = 180
Now let's isolate the variable "x" by subtracting 24 from both sides:
6x = 180 - 24
6x = 156
To solve for x, divide both sides of the equation by 6:
x = 156/6
x = 26
So, the measure of angle P is 26 degrees.
To find the measure of angle N, substitute the value of x back into the equation:
Angle N = 5x
Angle N = 5 * 26
Angle N = 130
Therefore, the measure of angle N is 130 degrees and the measure of angle P is 26 degrees.
th3
M = 24
N = 5P
24 + N + P = 180
24 + 6P = 180
6P = 156
P = 26 deg
etc.