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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!!!!!!!!!

In the diagram the measure of angle 3 is 105 degrees which angle must also measure 105 A1 B4 C6 D8 I NEED HELP ASAP PLZZZZ class=

Respuesta :

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.

boffeemadrid

Answer:

(A) 1

Step-by-step explanation:

From the given diagram, we have The measure of the [tex]{\angle}3[/tex] is [tex]105^{\circ}[/tex].

Now, using the property of straight lines, we have

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

Hence, only the [tex]{\angle}1[/tex] has the same  measure as [tex]105^{\circ}[/tex].

Therefore, option A is correct.

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