*Which of the angles are congruent in pairs when a transversal intersects two parallel lines?* 1️⃣ corresponding and interior angles 2️⃣ corresponding and alternate angles 3️⃣ interior and alternate angles 4️⃣ interior angles
Answers
Given : a transversal intersects two parallel lines
To Find : Which of the angles are congruent in pairs
1️⃣ corresponding and interior angles
2️⃣ corresponding and alternate angles
3️⃣ interior and alternate angles
4️⃣ interior angles
Solution:
Properties of angles formed by transversal line with two parallel lines :
• Corresponding angles are congruent.
• Alternate angles are congruent. ( Interiors & Exterior both )
• Co-Interior angles are supplementary. ( adds up to 180°)
1️⃣ corresponding and interior angles
corresponding angles are congruent. but Interior angles are supplementary.
2️⃣ corresponding and alternate angles are congruent. TRUE
corresponding and alternate angles are congruent.
3️⃣ interior and alternate angles
alternate angles are congruent. but Interior angles are supplementary.
4️⃣ interior angles
Interior angles are supplementary.
Hence correct option is :
corresponding and alternate angles are congruent.
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