Please help me!! What is x?

x = 64

Step-by-step explanation:

90 + x + 26 = 180

116 + x = 180

x = 180 - 116

x = 64

x=64

Step-by-step explanation:

x and 26 are complementary, which means they add to 90 degrees.

x+26=90

We want to find x, so we have to get x by itself. 26 is being added on to x. To undo this, subtract 26 from both sides, because subtraction is the opposite of addition.

x+26-26=90-26

x=90-26

x=64

So, x is 64 degrees

∠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.