Which two angles in the figure are obtuse angles?

Option D, angle SQP and angle TQR

Step-by-step explanation:

Obtuse angles are angles that are more than 90 degrees and less than 180 degrees.

The angles that are greater than 90 are SQP and TQR

 Option D, angle SQP and angle TQR

D) m∠SQP and m∠TQR

Step-by-step explanation:

An obtuse angle is any angle greater than 90° and less than 180°

m∠SQP and m∠TQR are both obtuse angles, since they are both greater than 90° and less than 180°

Hope this helps!

∠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.