The diagram below shows two line segments - Junior Cycle Mathematics - Question 7 - 2017
Question 7
The diagram below shows two line segments.
(i) On the diagram above, write the letter A in an acute angle.
(ii) On the diagram above, write the letter O in an obtu... show full transcript
Worked Solution & Example Answer:The diagram below shows two line segments - Junior Cycle Mathematics - Question 7 - 2017
Step 1
On the diagram above, write the letter A in an acute angle.
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Answer
An acute angle is any angle less than 90°. In the provided diagram, select a suitable angle formed by the intersecting lines that is less than 90° and label it with the letter A.
Step 2
On the diagram above, write the letter O in an obtuse angle.
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Answer
An obtuse angle is any angle greater than 90° but less than 180°. In the provided diagram, choose an appropriate angle that is greater than 90° and less than 180° to label it with the letter O.
Step 3
Find the size of the angle f, the angle g, and the angle h, without measuring.
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Answer
Given that angle g is marked as 45° and angle f is marked as 25°, we can calculate angle h using the properties of a parallelogram, where opposite angles are equal.
To find angle h:
The sum of angles at a point is 180°:
∣h∣=180°−(45°+25°)∣h∣=180°−70°∣h∣=110°
Thus:
∣f∣=25°
∣g∣=45°
∣h∣=110°
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