Answer:
Step-by-step explanation:
Part A
<JKL = <LNM These are alternate interior angles which when parallel lines are cut by a transversal, are equal.
6x + 1 = 25 Subtract 1
6x +1-1 = 25-1
6x = 24 Divide by 6
6x/6 = 24/6
x = 4
Part B
<LMN = 3x + 11
<LMN = 3(4) + 11
<LMN = 12 + 11
<LMN = 23
Part C
<KLM is an exterior angle of triangle LNM.
<KLM = <LMN + <LNM
<KLM = 23 + 25
<KLM = 48
Part D
<KJL = <LMN Alternate interior angles created by a transversal are equal
<JKL = <LNM Alternate interior angles are equal.
Triangles are similar if 2 angles of 1 triangle are equal to 2 angles of another triangle.
Note that 2 angles is all you need. The third angle in each triangle must be equal because every triangle has 180 degrees. The sum of the two known taken from 180 degrees equals the third angle in each triangle.
