If ∠1 and ∠3 are a vertical pair, it means they are opposite angles formed by two intersecting lines. According to the vertical angles theorem, vertical angles are congruent, which means their measures are equal.
Therefore, we have:
m∠1 = m∠3
4x + 26 = 98
4x = 98 - 26
4x = 72
x = 72/4
x = <<18=18>>18
So, the value of x is 18.
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 answer
1 answer