Question

select yes or no for each figure.
yes
yes
yes
yes
no
no
no
no

Explanation:

Step1: Check the first figure

If two lines are parallel, then corresponding angles are equal. Here, we have two angles of \(95^{\circ}\) which are same - side interior angles. For parallel lines, same - side interior angles should be supplementary (\(95 + 95=190
eq180\)). So, the answer is No.

Step2: Check the second figure

We know that \(95^{\circ}+85^{\circ} = 180^{\circ}\). If two lines are cut by a transversal and same - side interior angles are supplementary, then the lines are parallel. So, the answer is Yes.

Step3: Check the third figure

We have two angles of \(85^{\circ}\) which are corresponding angles. If corresponding angles are equal, then the lines are parallel. So, the answer is Yes.

Step4: Check the fourth figure

We know that \(85^{\circ}+95^{\circ}=180^{\circ}\). If two lines are cut by a transversal and same - side interior angles are supplementary, then the lines are parallel. So, the answer is Yes.

Answer:

1. No
2. Yes
3. Yes
4. Yes