Angle Relations
Of the following angles, which would have the greatest measure:
Acute
Straight
Right
Obtuse
Straight Angle (180 degrees)
Two angles are complimentary. One angle measures 42 degrees. What is the measure of the missing angle?
48 degrees
When you know the measure of two angles in a triangle, you can ALWAYS find the third measure. What do the interior angles of a triangle ALWAYS sum to?
180 degrees.
On a map, the distance from Akron to Cleveland measures 2 centimeters. What is the actual distance between these cities if the scale of the map shows that 1 centimeter is equal to 30 kilometers.
60 kilometers.
What do obtuse angles measure? You can give me the range. (From ___° to ___°)
Any measure that is above 90 and Below 180.
An angle has a 57 degree measure, how would you classify this angle based on the angle measure?
Acute
Two angles are supplementary, one angle measures 71 degrees. What is the measure of the missing angle?
109 degrees
Two angles in a triangle measure 30 and 60 degrees. What must be the measure of the 3rd angle?
90 degrees.
Trevor made a scale drawing of an Italian restaurant. He used the scale 1 centimeter : 5 meters. The restaurant's kitchen is 10 meters wide in real life. How wide is the kitchen in the drawing?
2 centimeters
Why can a triangle at most only have one right angle?
Two right angles would sum to 180° and we need all three angles in a triangle to sum to 180°.
Of the following, which angle relation ALWAYS results with congruent angles?
Adjacent Angles
Complimentary Angles
Vertical Angles
Supplementary Angles
Vertical Angles are always congruent!
Angles J and K are supplementary. Angle J measures 9x° and Angle K measures 45°. Find the value of x.
x=15
Find the missing angle in the following diagram.
x = 118°
An engineer makes a model of a bridge that has a scale of 1 inch = 3 yards. The length of the actual bridge is 50 yards. What is the length of the Model?
16 2/3 in
(16.66666666666666666 repeating in.)
Find the value for x in the following diagram.
x = 3
What angle relation do angles A & B share in the following picture?
Adjacent Angles; they share a vertex and a common side.
Angles E and F are complimentary angles. Angle E measures (x-10)° and Angle F measures (x+2)°. Find the MEASURE of each angle.
Angle E = 39°
Angle F = 51°
Find the value of x in the following diagram.
X = 30
Find the length of the model given the following diagram.
11 3/5 in
(11.6 in)
Find the missing angles A and B in the following diagram.
Angle A = 55°
Angle B = 65°
An angle is a compliment to itself, what does this angle measure?
The angle must measure 45°
Solve for each angle measure in the following diagram.
Angle YXZ = 35°
Angle VXW = 40°
Find the measure of Angle A in the following diagram.
Angle A = 61°
Find the actual area of the master bedroom in the following diagram.
108 square ft.
Find the missing angles C and D in the following diagram.
Angle C = 60
Angle D = 30