The measure of angle JLM is 140°. The measure of angle JKL is 75. What is the measure of angle KJL

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KJL is 65 degrees

Step-by-step explanation:

If JLM is 140 deg. JLK is 40 deg  the two angles on transverse line must equal 180 total.

JKL being 75 degf, sum that with JLK of 40= 115 deg

180-115= 65 deg  Sum of interior angles on a triangle add up to 180 deg.

At least that is how I remember it, you can also graph it and check it out.

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.