Angle Relationships

Angle Relationships

Continued :)

Multiple Choice

What kind of angles are 112 and x?

• vertical

• complementary

• supplementary

• Linear pair

Multiple Choice

If x and 112 are vertical angles then then x = ?

• 112

• 68

• Its impossible to tell

Multiple Choice

What kind of angles are 68 and x?

• vertical

• complementary

• supplementary

• Linear pair

Multiple Choice

If x and 68 are complementary then x = ?

• 12

• 112

• 22

• Its impossible to tell

Multiple Choice

What kind of angles are x and 124?

• vertical

• complementary

• supplementary

Multiple Choice

If x and 124 are supplementary then x = ?

• 16

• 68

• 56

• Its impossible to tell

Multiple Choice

What is the measure of y?

• 43

• 137

Multiple Choice

What is the measure of x and z?

• 43

• 137

Algebra Examples

These are vertical angles. So they are congruent or equal. So our equation should be:

3x + 47 = 6x - 25

Now solve for x on your own.

Multiple Choice

x in the last example = ?

• 16

• 24

• 32

• 109

Multiple Choice

Now that you know x = 24, recall that <SQR = 6x - 25. So what is the measure of <SQR

• 119

• 24

• 90

• 123

Algebra Example 2

<DCE and <ECB are completementary so they must add up to 90. So our equation should be

7x + 2 + x + 8 = 90

Solve the equation and find <DCE.

Algebra Example 3

These two angles form a linear pair. Therefore, they are supplementary and must add up to 180. So our equation is:

8x - 5 +4x - 19 = 180

Solve for x and <KNM

Algebra Example 4

Since <R and <s are complementary then they add up to 90. So our equation is

12x - 3 + 7x - 2 = 90

Solve for x and <R.

Algebra Example 5

Since the two angles are supplementary then we know have to add up to 180. So our equation is:

4x + 1 +9x - 3 = 180

solve for x and <Q

Algebra Example 6

Since the angle is being bisected that means it is split in half. So the two angles in the picture are equal. So our equation is:

13x - 5 = 7x + 31

solve for x.