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.
