Question

Use the figure to answer questions 4-5. Assume that lines JL and MP are parallel.

4. Name a pair of same-side interior angles.


∠1 and ∠6
∠1 and ∠8
∠2 and ∠6
∠3 and ∠5


5. If m ∠4 = 105°, then what is m∠8?


105°
75°
175°
25°

Answer 1

4.

The same-side interior angles would be 2 and 6. They're in the same exact position.

5. If angle 4 is 105 degrees, angle 8 must also be 105 degrees because they are same-side interior angles.

Answer 2

Answer: 4) Last option is correct.

5) First Option is correct.

Explanation:

4) Since we know that

Sum of interior angles on the same side is supplementary.

As we have given that

lines JL and MP are parallel.

Same side interior angles will be

∠3 and ∠5 ; ∠4 and ∠6

Therefore, Last option is correct.

5) if m ∠4 = 105°,

Since two lines are parallel, so, the corresponding angles are equal.

and corresponding pairs are as follows:

m∠4=m∠8

m∠2=m∠6

Since m ∠4 = 105°

⇒ m∠8 = 105°

Hence, First Option is correct.