Question

1). The sum of angles at a point on one side of a line is equal to _______ right angles.

2). If two lines intersect each other, then the vertically opposite angles are ______.

3). If a transversal intersects two lines such that a pair of corresponding is equal, then the two lines ______.

4). If a transversal intersects two lines such that a pair of alternate interior angles is ________, then the two lines are parallel.​

Answer 1

Answer:

1 The sum of all the angles on one side of a straight line is always 180 degrees. For example: The sum of ∠1, ∠2, and ∠3 is 180 degrees.

2 If two lines intersect each other, then the vertically opposite angles are equal. Theorem 6.1 : If two lines intersect each other, then the vertically opposite angles are equal

3 Axiom 4 If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other.

4 The converse of alternate angles axiom is stated as: If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.

Answer 2

Answer:

HII BRAINLY USERS YOUR SOLUTION

1. 180° because it is straight line

2. equal

3. are equal

4. 180°

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