Question

type the answer in the space provided. use numbers instead of words. consider the diagram. points m and v lie on a straight line. points k and d lie on a straight line. determine the value of x. answer x = \boxed{}

Explanation:

Step1: Identify supplementary angles

Since \( M, Y, V \) are colinear, the angles \( 50^\circ \) and \( (2x)^\circ \) are supplementary (they form a linear pair), so their sum is \( 180^\circ \).
\[
50 + 2x = 180
\]

Step2: Solve for \( x \)

Subtract \( 50 \) from both sides:
\[
2x = 180 - 50
\]
\[
2x = 130
\]
Divide both sides by \( 2 \):
\[
x = \frac{130}{2}
\]
\[
x = 65
\]

Answer:

\( x = 65 \)