Answer:
<J = 45
<L = 45
<M = 90
This is an isosceles right triangle
Step-by-step explanation:
The angles of a triangle add up to 180 degrees
<J + <L + <M = 180
2x+15 + 5x-30 + 6x = 180
Combine like terms
13x -15 = 180
Add 15 to each side
13x-15+15 = 180+15
13x = 195
Divide each side by 13
13x/13 =195/13
x =15
<J =2x+15 = 2*15+15 = 30+15 = 45
<L = 5x-30 = 5*15 -30 = 75-30 = 45
<M = 6*15 = 90
The triangle is a right triangle
Since two angles are equal, that means two sides are equal so it is an isosceles triangle.
This is an isosceles right triangle
