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Put the steps for accurately drawing triangle XYZ in the correct order.

Mathematics

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Step-by-step solution

5 steps

To accurately draw triangle XYZ with XY=10XY = 10 cm, angle YXZ=40∘YXZ = 40^\circ, and angle XYZ=60∘XYZ = 60^\circ, follow these steps:

  1. Draw the base side.

    The first step is to draw the side XY with a length of 10 cm.
    This corresponds to option C: "Draw side XY."

  2. Measure the first angle.

    Next, place the protractor at one end of the line segment XY to measure the first angle. Let's start with angle YXZ=40∘YXZ = 40^\circ at point X.
    This corresponds to option E: "Put the centre of the protractor on X. Mark 40∘40^\circ from XY."

  3. Draw the line for the first angle.

    Draw a line from point X through the 40∘40^\circ mark. This forms one side of the angle.
    This corresponds to option A: "Draw a line from X through your 40∘40^\circ mark."

  4. Measure the second angle.

    Now, place the protractor at the other end of the line segment XY, which is point Y, to measure angle XYZ=60∘XYZ = 60^\circ.
    This corresponds to option D: "Put the centre of the protractor on Y. Mark 60∘60^\circ from XY."

  5. Draw the line for the second angle to complete the triangle.

    Draw a line from point Y through the 60∘60^\circ mark. This line will intersect the line drawn from X, forming the third vertex Z and completing the triangle.
    This corresponds to option B: "Draw a line from Y through your 60∘60^\circ mark to form the triangle."

    The correct order of steps is C, E, A, D, B.

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