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 asap !

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.

(A) 1

Step-by-step explanation:

From the given diagram, we have The measure of the is .

Now, using the property of straight lines, we have

(Because they are vertically opposite angles).

Hence, only the has the same  measure as .

Therefore, option A is correct.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.