Question

In the diagram, the measure of angle 3 is 105°.

which angle must also measure 105°?

angle 1
angle 4
angle 6
angle 8

Answer 1

Since angle 1 is opposite of angle 3, this means that angle 1 also measures 105°

Answer 2

The angle 1 ( ∠1 ) measure must be 105°

A is correct.

Explanation:

In the diagram, the measure of ∠3 is 105°

Please see the attachment for diagram.

In the diagram, we are given three line

Line 1 traversal of two line L2 and L3

∠3 for by Line 1 and Line 2

As we know when two line intersect form vertically opposite angle.

∠3=∠1 (Vertically Opposite angle Theorem)

But ∠3=105°

Thus, ∠1=105°

Hence, The angle 1 ( ∠1 ) measure must be 105°