Question

in a geometric figure 2 intersecting lines creating four angles if angle one and angle three are a vertical pair M angle one equals(4X +26) degrees and M angle three equals 98°. What is the value of X?
72
98
14
18

Answer 1

In the scenario described, you have two intersecting lines that create four angles. Angle 1 and Angle 3 are vertical angles, which means they are equal in measure.

You are given:
- \(M \angle 1 = 4X + 26\)
- \(M \angle 3 = 98^\circ\)

Since these angles are vertical angles, we can set them equal to each other:

\[
4X + 26 = 98
\]

To solve for \(X\), first, subtract 26 from both sides:

\[
4X = 98 - 26
\]
\[
4X = 72
\]

Now, divide both sides by 4:

\[
X = \frac{72}{4}
\]
\[
X = 18
\]

Therefore, the value of \(X\) is \(18\).