Question

1. If OQ and RT are parallel lines which statement is true?

Answer 1

Answer:

C

Step-by-step explanation:

OQ and RT are parallel lines, while UN is a transversal that crosses both lines at two points. P and S are a couple.

A). RSU [corresponding angles] OPS

B). [Consecutive interior angles] mOPS + mRSP = 180°

C). [Linear pair of angles] mOPS + mOPN = 180°

D.) Since then, OPS TSP [Alternate Interior Angles] has been implemented.

And [Linear pair of angles] mTSP + mTSU = 180°

As a result, Option (A) is the right one.

Inquiry (2).

A). [Linear pair of angles] mRSP + mRSU = 180°

B). [Linear pair of angles] mRSP + mPST = 180°

C). [Vertically opposite angles] RSP TSU

D). [Consecutive interior angles] mRSP + mOPS = 180°

so it’s gonna have to be C

Answer 2

Answer:

Step-by-step explanation:

Question (1).

OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.

A). ∠OPS ≅ ∠RSU [corresponding angles]

B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]

C). m∠OPS + m∠OPN = 180° [Linear pair of angles]

D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]

    And m∠TSP + m∠TSU = 180° [Linear pair of angles]

Therefore, Option (A) is the correct option.

Question (2).

A). m∠RSP + m∠RSU = 180° [Linear pair of angles]

B). m∠RSP + m∠PST = 180° [Linear pair of angles]

C). ∠RSP ≅ ∠TSU [Vertically opposite angles]

D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]

Therefore, Option (C) will be the answer.