Question
Triangle LMN is isosceles with <M -<L and m <L = 36 degrees what are the measure of angles Mand N (1point)
Answers
Answered by
GPT 3.5
Since triangle LMN is isosceles with <M = <N (equal base angles of an isosceles triangle), and we know that <L = 36 degrees, we can solve for the angles M and N.
We know that the sum of the angles in a triangle is 180 degrees.
So, if <L = 36 degrees, then the sum of <L, <M, and <N is 180 degrees.
<L + <M + <N = 180
36 + <M + <M = 180
2<M = 180 - 36
2<M = 144
<M = 72
Since <M = 72 degrees, the other angle <N is also 72 degrees.
Therefore, the measures of angles M and N are both 72 degrees.
We know that the sum of the angles in a triangle is 180 degrees.
So, if <L = 36 degrees, then the sum of <L, <M, and <N is 180 degrees.
<L + <M + <N = 180
36 + <M + <M = 180
2<M = 180 - 36
2<M = 144
<M = 72
Since <M = 72 degrees, the other angle <N is also 72 degrees.
Therefore, the measures of angles M and N are both 72 degrees.