Angle Relationships
Using angle relationships to solve for missing angles
Angle relationships in Triangles
Side lengths of Triangles
Conditions for triangles
100
The relationship between angle 1 and angle 2 is...
Supplementary, adjacent
100
Solve for x then find the missing angles.
Tip: right your equation first-- is this complementary or supplementary
x=54
angle measures: 54 degrees and 36 degrees
100
Find the missing angle measure
59 degrees
100
Will the three-line segments form a triangle? Explain
21cm, 7cm, 6cm
No, because the sum of any two side lengths are not all greater than the third.
100
Determine if the conditions result in a unique triangle, more than one triangle, or no triangle. Explain.
a unique triangle
200
The relationship between angle 1 and angle 3 is...
vertical angles, congruent
200
Solve for x then find the missing angles.
Tip: right your equation first-- is this complementary or supplementary
x= 52
angle measures: 52 degrees and 128 degrees
200
Find the missing angles
71.6 degrees
200
True or false
False
200
Determine if the conditions result in a unique triangle, more than one triangle, or no triangle. Explain.
More than one triangle
300
The relationship between angle 2 and angle 3 is...
supplementary, adjacent
300
Solve for x.
Tip: what angle relationship is this, what do we know about this type of angle?
x=30
300
In triangle JKL, angle J measures 25.8 degrees, and angle k is a right angle. What is the measure of angle L?
64.2 degrees
300
Angle XYZ corresponds with what side length?
XZ
300
Nicholas cuts various pieces of wire at different lengths. He selects three pieces that measure 4.5cm, 6cm, and 8.5cm. What type of triangle will Nicholas form (if any)?
One unique triangle
400
The relationship between angle 2 and angle 3 is...
complementary, adjacent
400
Solve for x.
x=17
400
The measure of angle G is 35 degrees and the measure of angle E is 62.2 degrees. What must be the missing angle in the triangle EFG?
82.8 Degrees
400
Angle ZXY corresponds w
ith side length...
ZY
400
What do the conditions have to be for the construction of more than one triangle?
Has to be all angles given only, this will make similar triangles but not one unique.
500
The relationship between angle 1 and angle 3 is...
complementary
500
Set up and equation then solve for x. After you solve for x, please find your angle measures. 
x=16.8
Angle Measures: 33.6 degrees and 44.4 degrees
500
Solve for x
x=41
500
True or false
True
500
Determine the number of triangles that can be constructed given the conditions. Explain
none, the measures of the three angles add up to 175 degrees. A triangle has to have a sum of all angles to 180 degrees.