Question

given ( m parallel n ), find the value of ( x ).
answer attempt 1 out of 2
( x = ) submit answer

Explanation:

Step1: Identify angle relationship

Since \( m \parallel n \) and \( t \) is a transversal, the two angles \( (5x - 10)^\circ \) and \( (6x + 3)^\circ \) are same - side interior angles. Same - side interior angles are supplementary, so their sum is \( 180^\circ \).
We can write the equation: \( (5x - 10)+(6x + 3)=180 \)

Step2: Simplify the left - hand side of the equation

Combine like terms: \( 5x+6x-10 + 3=180 \)
\( 11x-7 = 180 \)

Step3: Solve for x

Add 7 to both sides of the equation: \( 11x-7 + 7=180 + 7 \)
\( 11x=187 \)
Divide both sides by 11: \( x=\frac{187}{11}=17 \)

Answer:

\( x = 17 \)