Question

name the angles corresponding vertical alternate exterior alternate interior supplementary complementary

Answer 1

Angles can be classified based on their relationships. Vertical angles, alternate exterior angles, and alternate interior angles are congruent. Supplementary angles add up to 180 degrees, while complementary angles add up to 90 degrees.

Step-by-step explanation:

Angles can be classified in different ways based on their relationships with each other. Here are the definitions of the different types of angles:

• Vertical angles: When two lines intersect, the angles across from each other are called vertical angles. They are congruent (have equal measures).
• Alternate exterior angles: When a pair of parallel lines is intersected by a transversal, the angles on the outside of the parallel lines and on opposite sides of the transversal are called alternate exterior angles. They are congruent.
• Alternate interior angles: When a pair of parallel lines is intersected by a transversal, the angles on the inside of the parallel lines and on opposite sides of the transversal are called alternate interior angles. They are congruent.
• Supplementary angles: Two angles are supplementary if their measures add up to 180 degrees.
• Complementary angles: Two angles are complementary if their measures add up to 90 degrees.

Answer 2

Explanation

when a line intersects a pair of parallel lines, diverse angles are created

a)he angles which occupy the same relative position are called corresponding angles (red)

b)vertical angles are the angles opposite each other when two lines cross(green angles)

c)When two lines are crossed by another line (called the Transversal): Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.(blue)

d)Alternate interior angles are the angles formed when a transversal intersects two coplanar lines(purple)

e)Two angles are called supplementary when their measures add up to 180 degrees.(yellow)

f)Two angles are called complementary if their measures add to 90 degrees, a and b in the rigth angle

so

Step 1

name each angle:

1)alternate interior

2)corresponding

3)

`\text{angle}1+\text{angle}2=180`

so,

supplementary angles

4)alternate exterior angles

5)vertical angles

6)as the angles 1 and 2 , the angles are complementary angles

I hope this helps you