A geometric figure 2 intersecting lines create four angles is angle one and angle three are vertical pair and angle one equals 4X +26° and an angle three equals 98°. What is the value of X is it 98 1814 or 72

Answer 1

Given that angle one and angle three are vertical angles, they are congruent (equal).

We are also given that angle one equals 4X + 26° and angle three equals 98°.

Therefore, we can set up the equation:

4X + 26° = 98°

To solve for X, we need to isolate the variable. We can do this by subtracting 26° from both sides of the equation:

4X = 98° - 26°

4X = 72°

Now, we can solve for X by dividing both sides of the equation by 4:

X = 72° / 4

X = 18°

So, the value of X is 18.