Question

1) Consider that lines A and B are parallel Which equation models the relationship between 21 and 25? es A) 41=25 B) 41+25= 90° 921+25=180° D) Z1+25=100⁰ 5 2​

Answer 1

Answer: C

Explanation:

First, we will use the fact that corresponding angles are congruent. This means that ∠1 and ∠6 are congruent, and ∠5 and ∠8 are congruent.

Next, we know that a straight line is equal to 180°.

Using this information, we can confirm that the answer is option C,

∠1 + ∠5 = 180°

See attached for a basic drawing showing the angles.

Answer 2

`\sf{\qquad\qquad\huge\underline{{\sf Answer}}}`

In the given figure, Angle 1 and Angle 5 are angles formed between the parallel lines and are on same side of the transversal therefore we can conclude that the given pair of angles form Co - Interior Angles.

So, the relation between them is as :

• 
  `\qquad \sf \dashrightarrow \angle1 + \angle5 = 180 \degree`

Then, the correct choice will be C