In the figure below, A and B are two points on a map. Point A is north of B. Point C is east of B and ∠BAC=50∘\angle\text{BAC} = 50^\circ. Draw triangle ACB by completing the figure.

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Worked solution

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1. Measure the required angle at point A

Place the center of a protractor at point A, aligning its baseline with the vertical line segment AB. Measure an angle of 50∘50^\circ clockwise from AB (towards the east).

2. Draw the line segment AC and label point C

Draw a straight line from A through the 50∘50^\circ mark until it intersects the horizontal line extending to the right from B. Label this point of intersection as C to complete the right-angled triangle ACB.

Answer

Triangle ACB is drawn with ∠BAC=50∘\angle BAC = 50^\circ and point C labeled on the horizontal line east of B.

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