In geometric figure two intersecting lines creating four angles. If <1 and <3 are a vertical pair <1= 4x + 26 degrees and <3 = 98 degrees what is the value of x

1 answer

Vertical angles are always equal, which means that <1 = <3. Therefore, we can set the two expressions equal to each other and solve for x:

4x + 26 = 98

Subtracting 26 from both sides, we get:

4x = 72

Dividing both sides by 4, we get:

x = 18

Therefore, the value of x is 18 degrees.