3.3.4 Practice: Angle Relationships in Triangles Practice

Math 8 Sem 2

Points Possible:5

Name:

Tandin Anderson

Date:

Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.

1. What is the measure of ∠4? Explain how you know.

Write your answer in the space below.

2. What is the sum of the measures of the angles in a triangle?

Write your answer in the space below.

3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?

Write your answer in the space below.

4. What is the measure of ∠1? Explain.

Write your answer in the space below.

5. Find the measure of ∠2. Explain how you found its measure.

Write your answer in the space below.

6. What is the measure of ∠3? Explain.

Write your answer in the space below.

For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because

180 - 90 = 90

The sum of the three angles of any triangle is equal to 180 degrees.

Angle 2=127 because 180-53=127.

Angle 3=23 because 180-30-127=53

Angle 1=37 because 90-53=37

Angle 4=90

Angle 1+4=127

The measure of ∠1 is 125° .

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because

180 - 90 = 90

The sum of the three angles of any triangle is equal to 180 degrees.

Angle 2=127 because 180-53=127.

Angle 3=23 because 180-30-127=53

Angle 1=37 because 90-53=37

Angle 4=90

Angle 1+4=127

The measure of ∠1 is 125° .

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Step-by-step explanation:

`1234567890-=/*-qwertyuiop[]asdfghjkl; '\\zxcvbnm,./+ /

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3