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In the diagram below, the line l is parallel to the line k - Junior Cycle Mathematics - Question 11 - 2014

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Question 11

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In the diagram below, the line l is parallel to the line k. The angles A, B, C, D, E, F, G, and H are marked on the diagram. (i) Write down a pair of angles that ar... show full transcript

Worked Solution & Example Answer:In the diagram below, the line l is parallel to the line k - Junior Cycle Mathematics - Question 11 - 2014

Step 1

Write down a pair of angles that are vertically opposite.

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Answer

The angles that are vertically opposite are B and D.

Step 2

Write down a pair of angles that are corresponding.

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Answer

The angles that are corresponding are A and E.

Step 3

Write down a pair of angles that are alternate.

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Answer

The angles that are alternate are A and G.

Step 4

Given ∠|A|=137°, find the measure of the angles G and H.

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Answer

Since ∠|A|=137°, we find that ∠|G| = 137° and ∠|H| = 180° - 137° = 43°.

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