Please help me solve this math problem im in desperate need

Measurement of each angle of parallelogram is 72⁰, 108⁰, 72⁰ and 108⁰.

Step-by-step explanation:

Let the angle measurement of parallelogram be 2x, 3x, 2x, 3x.

Now, according to the question substituting all the given values to find the value of x.

Hence, the value of x us 36⁰.

Now, we know the value of x. So, calculating the measurement of each angle of parallelogram :

19.side- angle- side

20. angle- side- angle

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.