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5b) Determine the measure of each unknown angle.

5b) Determine the measure of each unknown angle.-example-1

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Answer:

r = 115°

s = 130°

t = 115°

Explanation:

1) Angles on a straight line equal 180°.

So, to find angle 'r' you must do 180° - 65° to get 115°.

2) The two dashes on the side represent that the angle equivalent to 65° is equal to the angle next to angle 't'.

So you do 180° - 65° again to get 115°, to work out angle 'r'. This means that both the exterior angles are 115°.

3) The interior angles of a triangle add up to 180°.

So you must do 65° + 65° = 130°

180° - 130° = 50°

Then to work out angle 's' do 180° - 50° = 130°.

So the final answers are:

r = 115°

s = 130°

t = 115°

(Extra information: Exterior angles always add up to 360°, so if the angles on the outside of the shape don't add up to 360°, then you might have slipped up somewhere)

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