
Angles of Triangles
Presentation
•
Mathematics
•
8th - 10th Grade
•
Medium
Standards-aligned
Guy May
Used 244+ times
FREE Resource
10 Slides • 10 Questions
1
Title - Angles of Triangles
These are your NOTES. To earn credit copy each example into your notes. Then answer the questions at the end. You can try more than once if you need to. You will need your marble notebook and a calculator.
2
Angle Sum of a Triangle
The sum of the measures of the interior angles of a triangle is 180o.
<1 + <2 + <3 = 180
3
Find the missing angle.
In Δ MAY , if m<M = 72o and the m<Y = 74o
Give this a try! The work and answer are on the next slide.
4
So what is angle A?
Remember the sum of all three angles is 180.
m<A = 180 - (72 + 74)
m<A = 180 - 146
m<A = 34o
5
Here is another example. The measures of the angles of a ΔABC are in the ratio 1:4:5. What are the measures of the angles?
Let x = angle A
Then ......4x = angle B and 5x = angle C
Now we can make a equation! x + 4x + 5x = 180
10x = 180
x = 18
6
If x = we now can find all the angles!
m<A = x = 18
m<B = 4x = 4(18) = 72
m<C = 5x = 5(18) = 90
The measures of the angles are 18o, 72o, and 90o
7
Multiple Choice
Find the missing angle x.
145o
90o
350
180o
8
Please copy this into your notes!
9
Finding x
Remember the sum of the remote interior angles equals the exterior angle.
So........
63 + 86 = x
149 o = x
10
Finding x when it is a interior angle!
The sum of the remote interior angles equals the exterior angle.
x + 40 = 100
-40 from both sides
x = 60o
11
LETS DO THIS!
12
Multiple Choice
13
Multiple Choice
A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?
45°, 65°, 70°
150°, 110°, 100°
50°, 50°, 50°
90°, 90°, 90°
14
Multiple Choice
Find the measure of the missing angle.
90o
100
130o
50o
15
Multiple Choice
Find the measure of the indicated angle.
95
85
35
45
16
Multiple Choice
The sum of the remote interior angles equals the exterior angle.
17
Multiple Choice
Which of the following terms best describes Angle d?
Remote interior angle
Corresponding angle
Exterior angle
Interior angle
18
Multiple Choice
Find the measure of angle x. Be careful! They did NOT give you two remote interior angles.
138
96
93
87
19
Multiple Choice
Find the measure of the missing angles.
A
B
C
D
20
Multiple Choice
Hint: Remeber their sum is 180o.
11
25
35
50
Title - Angles of Triangles
These are your NOTES. To earn credit copy each example into your notes. Then answer the questions at the end. You can try more than once if you need to. You will need your marble notebook and a calculator.
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