Download Angles with algebra day one.notebook

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
0
1
+
x
2
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 ABC?
Show your work.
Answer_________ degrees
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