Question

question 16 (1 point) find m∠g. p || r. the diagram is not to scale. question 17 (1 point) line r is parallel to line t. find m∠6. the diagram is not to scale. question 18 (1 point) this diagram of airport runway intersections shows two parallel runways. a taxiway crosses both runways. how are ∠8 and ∠4 related?

Explanation:

Step1: Recall angle - relationship for parallel lines

When two parallel lines are cut by a transversal, corresponding angles are equal, alternate - interior angles are equal, and same - side interior angles are supplementary.

Step2: Solve Question 16

Since \(p\parallel r\), \(\angle G\) and the \(34^{\circ}\) angle are corresponding angles. So \(m\angle G = 34^{\circ}\).

Step3: Solve Question 17

The angle adjacent to the \(138^{\circ}\) angle on line \(r\) is \(180 - 138=42^{\circ}\) (linear - pair of angles). Since \(r\parallel t\), \(\angle6\) and the \(42^{\circ}\) angle are corresponding angles. So \(m\angle6 = 42^{\circ}\).

Step4: Solve Question 18

\(\angle8\) and \(\angle4\) are alternate interior angles when the two parallel runways are cut by the taxi - way.

Answer:

Question 16: A. 34
Question 17: A. 42
Question 18: A. alternate interior angles