In a geometric figure two intersecting lines creating
four angles. If and are a vertical pair,
, and , what is the
value of ? (1 point)
∠1 ∠3
m∠1 = (4x + 26) ° m∠3 = 98°
x
14
98
18
72
Since ∠1 and ∠3 are vertical angles, they are congruent, which means 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.