Sewanhaka High School
Mrs. Lidowsky, Principal
Math 8
Mr. Long, Teacher
Class:________________
Date:_____________________
Name:________________________________
H.W. #69F: Ditto
DO-NOW #69F: Answer the following questions:
For exercises 1, solve the problem algebraically using an equation:
1) Find the number of degrees in an angle that measures 12° more than its complement.
3) Determine whether the triangle with the given
lengths 5 in (a), 10 in (b), and 13 in (c) is a right
triangle.
(Draw the triangle)
2)
Topic: Geometry with ALGEBRA
Main Idea: Supplementary Angles
Aim:
Recall
Refer to the picture to
the left. What type of
angle is that called?
What if we broke up the
straight angle into two angles
that are next to each other?
What do we know about those
angles?
What do we call two angles
that are next to each other that
equal 180°?
Give an example of supplementary angles?
Question: Given the following angles, find their supplements:
a) 23°
b) 110°
c) 164°
d) x
e) 2x
f) x + 10
Notes
What if they told you that one angle is 10° more than its
supplement. How would you find the measures of both
angles algebraically?
The ratio of the measure of an angle to the measure of
its supplement is 2:3. Find the measure of the angle and
the measure of its supplement.
Question: <FAN is a straight angle. Find the m<FAR and m<RAN.
R
8x x
A
F
N
Drill: Answer the following questions:
1) One angle is 20° less than its supplement. How would you find the measure of both angles?
2) The ratio of the measure of an angle to the measure of its supplement is 2:4. Find the measure of the
angle and the measure of its supplement.
R
D
F
2x x x + 20
A
N
Summary:
3) <FAN is a straight angle. Find the m<FAD, m<DAR, and m<RAN.