Question
In a geometric figure two intersecting lines creating four angles. If ∠1 and ∠3 are a vertical pair, m∠1=(4x+26)° , and m∠3=98° , what is the value of x ?(1 point)
Responses
18
18
7272
9898
14
Let's use the fact that vertical angles are equal. If ∠1 and ∠3 are a vertical pair, then they are equal. This means that 4x + 26 = 98.
To solve for x, let's isolate the variable.
4x + 26 = 98
Subtract 26 from both sides:
4x = 72
Divide both sides by 4:
x = 18
Therefore, the value of x is 18.