Question

Direction: Analyze the figure below and complete the table. Write your answer on your math notebook


PLEASE HELP ME ANSWER PROPERLY. I'M CRAMMING RIGHT NOW SO I DON'T HAVE TIME TO LEARN THE LESSON.

Answer 1

Answer:

Step-by-step explanation:

1) 2=6 , 3=7 , 1=5 , 4 = 8

2)4 and 6

   3 and 5

3)<4 = 180 - 79 = 101

4)supplementary angles

5)<8 = 101 ( vertically opposite angles )

6)<3 = 79

7)180

8)alternating interior angles

9)<8

10)180

Answer 2

The answers are as follows;

1. ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7 and∠4 and ∠8

2. ∠3 and ∠5 , ∠4 and ∠6 m

3. ∠4 = 101°

4. ∠7 and ∠8 are pair of adjacent angles.

5. 101°

6. 101°

7. 180°

8. ∠3 and ∠5 are alternate angles and are equal in measure.

9. ∠2 and ∠8.

10. 180°

GIVEN

Figure.

TO FIND

1. Name at least 4 pairs of congruent

angles.

2. Name 2 pairs of alternate-interior angles

3 m∠1 is 79 , what is m∠4?

4. if ∠1 and ∠7 are alternate-exterior angle, what is the relation of ∠7 and ∠8

5. If m∠6 = 101 what is m∠8

6. From your answer in number 5 what is m∠3

7. What is the sum of m∠3 and m∠4

8. What is the relation between ∠3 and ∠5

9. The pair of alternate-exterior angle is ∠2

and

10. The m∠4 m∠5 =

SOLUTION

The above problem can be simply solved as follows;

1. Congruent angles are two or more angles indentical to each other.

Congruent angles are-

∠1 and ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

2.

Alternate interior angles are the ones that are formed in the interior of parallel lines.

Alternate interior angles are -

∠3 and ∠5

and ∠4 and ∠6

3.

m∠1 = 79°

It is known that,

Sum of angles of a straight line = 180°

Therefore,

∠1 + ∠4 = 180

∠4 = 180 - 79 = 101°

m∠4 = 101°

4.

Adjacent angles are those angles that share a common vertex and a common side.

∠7 and ∠8 are adjacent angles.

5.

m∠6 = 101°

∠8 = ∠6 = 101° (Alternate angles are equal)

6.

Since,

∠6 = ∠8 and

∠6 = ∠3 (Corresponding angles are equal)

Therefore,

∠3 = ∠8 = 101°

7.

∠3 and ∠4 make a straight line angle.

Therefore,

The sum is equal to 180°.

8.

∠3 and ∠5 are alternate angles and are equal in measure.

9.

The pair or alternate exterior angles are ∠2 and ∠8.

10.

∠4 and ∠5 are consequtive interior angles that are supplimentary to each other.

Therefore,

There sum is 180°

Hence, the answers are as follows;

• 1. ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7 and∠4 and ∠8
• 2. ∠3 and ∠5 , ∠4 and ∠6 m

• 3. ∠4 = 101°

• 4. ∠7 and ∠8 are pair of adjacent angles.

• 5. 101°

• 6. 101°

• 7. 180°

• 8. ∠3 and ∠5 are alternate angles and are equal in measure.

• 9. ∠2 and ∠8.

• 10. 180°

#SPJ3