Question

In the diagram the measure of angle 3 is 105 degrees which angle must also measure 105? A.1 B.4 C.6 D.8       I NEED HELP ASAP PLZZZZ!!!!!!!!!

Answer 1

(A) 1

Explanation:

From the given diagram, we have The measure of the
`{\angle}3` is
`105^(\circ)`.

Now, using the property of straight lines, we have

`m{\angle}3=m{\angle}1=105^(\circ)` (Because they are vertically opposite angles).

Hence, only the
`{\angle}1` has the same measure as
`105^(\circ)`.

Therefore, option A is correct.

Answer 2

Answer: The correct option is (A). angle 1.

Step-by-step explanation: In the given diagram, the measure of ∠3 is 105°.

We are to find the angle that must also measure 120°.

We know that the measures of two vertically opposite angles are equal.

In the given diagram, since ∠1 and ∠3 are vertically opposite angles.

So, the measures of ∠1 and ∠3 are equal.

That is,

m∠1 = m∠3.

Also, m∠3 = 105°.

Therefore, m∠1 = 105°.

Thus, the measure of angle 1 must be 105°.

Option (A) is correct.