LMN is isosceles, with ML and m angle L = 36 deg What are the measures of angles M and N? (1 point)
Apologies for the incorrect response. Since LMN is isosceles, angle L is equal to angle N. Let's denote the measure of angles L and N as x. Therefore, angle M will be greater than angle L and N since it is opposite the longest side in an isosceles triangle. Let's denote the measure of angle M as y.
Since the sum of the angles in a triangle is 180 degrees, we can write the equation:
x + x + y = 180
Simplifying, we have:
2x + y = 180
We also know that angle L is 36 degrees, so we can write:
x = 36
Substituting x = 36 into the equation, we have:
2(36) + y = 180
Simplifying, we have:
72 + y = 180
Subtracting 72 from both sides, we get:
y = 108
Therefore, the measure of angle M (y) is 108 degrees and the measure of angles L and N (x) is 36 degrees.
Since LMN is isosceles, angles M and N must be equal. Let's denote the measure of angles M and N as x. Since the sum of the angles in a triangle is 180 degrees, we can write the equation:
36 + x + x = 180
Combining like terms, we have:
36 + 2x = 180
Subtracting 36 from both sides, we get:
2x = 144
Dividing both sides by 2, we have:
x = 72
Therefore, the measures of angles M and N are both 72 degrees.
thats not right!
thats wrong again!
Apologies for the confusion. Let's try again to determine the measures of angles M and N.
Since LMN is an isosceles triangle, angles M and N are equal. Let's denote their measure as x.
We know that angle L has a measure of 36 degrees.
In an isosceles triangle, the base angles (angles M and N) are equal. Therefore, we can set up the equation:
x + x + 36 = 180
Combining like terms, we have:
2x + 36 = 180
Subtracting 36 from both sides, we get:
2x = 144
Dividing both sides by 2, we have:
x = 72
Therefore, the measure of angles M and N is 72 degrees.