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A) What is the size of angle a? b) Use your answer to part a) to work out the size of reflex angle b. Give your answers to the nearest degree.

Mathematics

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Answers

2 parts
a

75 degrees\text{75 degrees}

b

285 degrees\text{285 degrees}

Step-by-step solution

3 steps

Part a· 1 step

  1. Read the value of angle aa from the protractor.

    The angle aa starts from the 0∘0^\circ mark on the left side of the protractor (inner scale). The other arm of the angle points to the mark between 70∘70^\circ and 80∘80^\circ. This mark represents 75∘75^\circ.

    a=75∘a = 75^\circ

    The size of angle aa is 75 degrees\boxed{\text{75 degrees}}.

Part b

285 degrees\text{285 degrees}

  1. Understand that a reflex angle and its corresponding acute/obtuse angle sum to 360∘360^\circ.

    Angle bb is the reflex angle corresponding to angle aa.

  2. Calculate reflex angle bb using the value of angle aa.

    reflex angle b=360∘−a\text{reflex angle } b = 360^\circ - a reflex angle b=360∘−75∘\text{reflex angle } b = 360^\circ - 75^\circ reflex angle b=285∘\text{reflex angle } b = 285^\circ

    The size of reflex angle bb is 285 degrees\boxed{\text{285 degrees}}.

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