Question

Can you help me ?

Answer 1

1. All of the angles are adjacent to the two angles on either side of them.

2. `mangles = 63^@`

3. There are 4 pairs of corresponding angles.

Explanation:

Part 1

All of the angles that are right next to each other are adjacent. If two angles share a side, and they have the same vertex, they are considered adjacent. Since all six of the angles formed in Part A share the same vertex, each angle can be considered "adjacent" to the two angles on either side of it.

Part 2

There are three angles along this straight line

Since the angles are on a straight line, they must all add up to `180^@`.

We know that one of the angles is a right angle (`90^@`) and another one is `27^@`. Therefore, the last angle must be:

`90^@ + 27^@ + mangles = 180^@`

`mangles = 180^@ - 90^@ - 27^@`

`mangles = 63^@`

Part 3

When a line intersects another line, four different angles are made (since the two lines form an "X" shape). So, when a transversal intersects TWO lines, there are actually EIGHT angles made:

Therefore, since there are two sets of four angles, we say that there are four pairs of corresponding angles. Here they are, labelled individually:

Hope this helps!