Finding the missing angle measure

Angles with algebra day one.notebook

December 01, 2016

Finding the missing angle measure

using algebra

320

Earlier this week our angles looked like this!

x0

What should we do now????

2x + 20

4x

Solve for the missing angle measures

Equation Solve for x

o

o

(5x + 7) 48

Find (5x + 7)

Angles with algebra day one.notebook

December 01, 2016

Solve for the missing angle measures

Equation Solve for x

2x

+

10

3x ? 85

Find 2x + 10 and 3x - 85

To Solve for missing angle measures using algebra

Step 1: Figure out if the angles given are congruent,

same

supplementary (180) or complementary(90)

Step 2: Set up an equation that relates the angles

If congruent

set the

measures

equal

If

complementary

add the

measures & set

them equal to

90

Step 3: Then solve for x

Step 4: Find missing angle measures

If

supplementary

add the

measures & set

them equal to

180

Angles with algebra day one.notebook

December 01, 2016

Find the missing angle measures

Equation Solve for x

2x - 10

65 - x

65 - x

2x - 10

Solve for angle 1 and angle 2

Equation solve for x

(x + 40)

o

1

2 (2x + 20)o

Angles with algebra day one.notebook

December 01, 2016

Name___________________________

Math 8 Angles: Using Algebra

Date____________

1. Patty is making a quilt following the pattern shown below.

Show your work.

(2x + 50)

(3x)

If all the horizontal lines are parallel,

what is the value of x?

Answer____________________

___

2. In the figure below, DC intersects BA at point B.

D

A

5x + 20

B

3x

What is the measure, in degrees, of

Show your work.

Answer_________ degrees

ABC?

C

Angles with algebra day one.notebook

December 01, 2016

3. The figure below shows parallel lines cut

by a transversal.

y

x

z

w

d

75

a

b

Part A

Based on the information in the figure,

complete the table below with the

measures of each angle

a

Angle

b

d

x

w

Degree

Measure

Part B

Name one pair of supplementary angles.

Answer____________________

4. In the figure below, lines m and n are parallel.

Line l is a transversal.

(8x)

m

B

(3x + 40)

n

A

Part A

What is the value of x?

Show your work.

Answer_________________

l

y

z

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