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find the value of x for which p is parallel to q, if (mangle1=(9x)) and…

Question

find the value of x for which p is parallel to q, if (mangle1=(9x)) and (mangle3 = 117). the diagram is not to scale.
126
117
13
108

Explanation:

Step1: Identify angle - relationship

When \(p\parallel q\), \(\angle1\) and \(\angle3\) are corresponding angles and are equal. So \(9x = 117\).

Step2: Solve for \(x\)

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

Answer:

C. 13