The sum of the interior angles of a triangle is what?
180 degrees
Can a triangle have these interior angle measures? Why or why not? 36.9 degrees, 110.4 degrees, and 33.7 degrees
No, they do not have a sum of 180 degrees.
What is the measure of the exterior angle of a triangle whose adjacent interior angle is 80 degrees?
100 degrees
Could these three side lengths make a triangle:
****Show your work
7, 12, 6
yes
7 + 6 = 13
13 > 12
Solve for x.
x = 17
What is created by extending an interior angle of a triangle?
Exterior Angle
What is the measure of the interior angles of an equilateral triangle?
60 degrees
An interior angle measure of a triangle is 47 degrees. What is the measure of it's adjacent exterior angle?
133 degrees
Could these three side lengths make a triangle:
****Show your work
12.5, 11.5, 25
No
12.5 + 11.5 = 24
24 is not greater than 25
What is the measurement of angle ABC?
<ABC = 60o
The interior angle of a triangle and the exterior angle of a triangle are what?
Supplementary
Two interior angle measures of a triangle are 74 degrees and 53 degrees. What is the measure of the third interior angle?
53 degrees
Find the value of x.
x = 111 degrees
Could these three side lengths make a triangle:
****Show your work
80, 120, 100
Yes
80 + 100 = 180
180 > 120
What is the measurement of angle MON?
<MON = 24o
You know the measures of two interior angles of a triangle. How can you find the third interior measure?
Write an equation where the sum of the interior angles is 180 and solve.
The interior angles of a triangle are "x" degrees, "x + 70" degrees and 28 degrees. Find the value of x.
41
What is the measurement of angle B?
<B = 39o
Between what two numbers must the third side of the triangle fall, if the first two sides are:
10, 17
Min: 7
Max: 27
7<x<27
What is the measurement of the two vertical angles?
124o
How many exterior angles does a triangle have at each vertex?
2
Given a triangle with measures: (3x-17), (x+40), and (2x-5). What is the measurement of all three angles?
67, 64, and 49
Solve for x.
x = 49
Between what two numbers must the third side of the triangle fall, if the first two sides are:
5, 8
Min: 3
Max: 13
3 < x < 13
What is the value for x and y?
x = 32o
y = 40o