Question

find the value of x for which p is parallel to q, if (mangle1=(9x)) and (mangle3) diagram is not to scale. 3 4 1 2 5 6 p q 108 13 117 126 question 7 find the value of x for which i is parallel to m. (3x - 43)° 80°

Explanation:

Step1: Identify angle - relationship

When \(p\parallel q\), \(\angle1\) and \(\angle3\) are corresponding angles. Corresponding angles are equal when two lines are parallel. Let's assume \(m\angle3 = 117^{\circ}\) (since no value for \(\angle3\) is given in the problem - statement but we need a value to solve, and we'll work with one of the options as a possible value for \(\angle3\)). If \(\angle1=\angle3\) (corresponding - angles postulate), then \(9x = 117\).

Step2: Solve for \(x\)

Divide both sides of the equation \(9x = 117\) by 9. We get \(x=\frac{117}{9}=13\).

Answer:

13