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

72
72    

98
98  

14
14      

18

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the value of x, we need to find the measure of ∠1.

Since ∠1 and ∠3 are a vertical pair, they are congruent, meaning they have the same measure. Therefore, we can set up an equation:

m∠1 = m∠3

(4x+26)° = 98°

Now, we can solve for x:

4x + 26 = 98
4x = 98 - 26
4x = 72
x = 72/4
x = 18

Therefore, the value of x is 18.