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If the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x + 10) degrees, what is the value of x?

50

55

60

100


HURRY PLEASE! BRAINLIEST + 20 POINTS

If the measure of angle 1 is 110 degrees and the measure of angle 3 is 2 x 10 degrees what is the value of

Answer :

Option A: 50 is the value of x

Explanation:

Given that the measure of angle 1 is 110° and the measure of angle 3 is (2x+10)°

We need to determine the value of x

Value of x:

From the figure, it is obvious that the angles 1 and 3 are vertically opposite angles.

Since, we know that the vertically opposite angles are always equal.

Thus, we have,

[tex]\angle 1=\angle 3[/tex]

Substituting the values [tex]\angle 1=110[/tex] and [tex]\angle 3=2x+10[/tex], we get,

[tex]110=2x+10[/tex]

[tex]100=2x[/tex]

[tex]50=x[/tex]

Thus, the value of x is 50

Hence, Option A is the correct answer.

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