Given the following diagram, if m∠1 = m∠4, then all of the following must be complementary angles except angles 1 and 2 angles 1 and 3 angles 2 and 3 angles 2 and 4

Option C

Step-by-step explanation:

We are given that

We have to find that which pair of angles is not complementary

OD is perpendicular to FB

Therefore,

Substitute the values then we get

()

Substitute the value then we get

Complementary angles are that angles whose two angles sum is 90 degrees.

Hence, angle 2 and angle 3 are not complementary angles.

Option C is true.

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9

∠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.