Since ∠1 and ∠3 are vertical angles, they must be congruent. Therefore, setting the measures of ∠1 and ∠3 equal to each other, we have:
4x + 26 = 98
Subtracting 26 from both sides:
4x = 98 - 26
4x = 72
Dividing both sides by 4:
x = 72/4
x = 18
Therefore, 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 point) Responses 7272 9898 1414 18
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