Question

4. In the figure, which of the following guarantees that m || n?
A. Angle 1 is congruent to Angle 7
B. Angle 4 is congruent to Angle 5
C. Angle 3 is congruent to Angle5
D. Angle 4 is congruent to Angle7

Show your solution.​

Answer 1

Answer:

angle 3 is equal to angle 6 by alternate interior property

Answer 2

Answer:

Option (B) is correct which is , ∠ 4≅ ∠5 .

Step-by-step explanation:

Explanation:

Given , there is two parallel line 'm' and 'n' are cut by transversal 't'

If two parallel lines intersect a crossing line, the resulting alternating exterior angles are congruent. Internal angles on the same side of the horizontal axis: Internal angles on the same side of the horizontal axis are also known as continuous or connected angles or internal angles.

So , ∠ 4≅ ∠5   because ∠4 and ∠5 are alternate interior angle .

Final answer :

Hence , Option(B) angle 4 is congruent to angle 5 .

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