Name: ______________________________________________ Date: ______________________________________ Finding the Missing Angle 1) In the figure, ABCD is a rectangle and ∠CAD = 31∘. Find ∠BAC. X= _____________ X 2) Describe how you could find <BAC without using a protractor. The Helicopter 3) The blades on a propeller turn and then pause. After 25 seconds the propeller blades begin moving again and rotate another 80 degrees to complete a full 360 degrees. How many degrees did the blades turn before they paused? _______________ Degrees The Ceiling Fan 4) A ceiling fan has five blades which are evenly spaced on the fan. If the first blade and the second blade form an angle that is 72°, what would be the measure of the angle formed by the first and third fan blade? _______________ Degrees Name: ______________________________________________ Date: ______________________________________ Finding the Missing Angle 1) In the figure, ABCD is a rectangle and ∠CAD = 31∘. Find ∠BAC. X= _____________ X 2) Describe how you could find <BAC without using a protractor. The Helicopter 3) The blades on a propeller turn and then pause. After 25 seconds the propeller blades begin moving again and rotate another 80 degrees to complete a full 360 degrees. How many degrees did the blades turn before they paused? _______________ Degrees The Ceiling Fan 4) A ceiling fan has five blades which are evenly spaced on the fan. If the first blade and the second blade form an angle that is 72°, what would be the measure of the angle formed by the first and third fan blade? _______________ Degrees 5) Name the given angle (Acute, Obtuse, and Right) _____________ angle 6) What measure is closest to the measurement of the given angle? a. 100 b. 90 c. 80 d. 85 7) What two names describe this triangle. (Hint: Think about the angles and the sides) _____________________________ ___________________________ Triangle 8) Fill in the thinking blocks using the information from the angle above to explain why this is a subtraction problem. 67 X 9) What is the value of “X” from number 8? 10) a) b) c) d) X = ___________ Which estimate would be reasonable for the angle? 279 degrees 192 degrees 135 degrees 45 degrees 5) Name the given angle (Acute, Obtuse, and Right) _____________ angle 6) What measure is closest to the measurement of the given angle? e. 100 f. 90 g. 80 h. 85 7) What two names describe this triangle. (Hint: Think about the angles and the sides) _____________________________ ___________________________ Triangle 8) Fill in the thinking blocks using the information from the angle above to explain why this is a subtraction problem. 67 X 9) What is the value of “X” from number 8? 10) a) b) c) d) X = ___________ Which estimate would be reasonable for the angle? 279 degrees 192 degrees 135 degrees 45 degrees