Question

Which of the following steps is INCORRECT while constructing $△XYZ$ if it is given that $XY=6cm,\angle ZXY={30}^o$ and $\angle XYZ={100}^o$
Step 1: Draw line $XY$ of length $6cm$.
Step 2: At $X$, draw a ray $XP$ making an angle of ${30}^o$ with $XY$.
Step 3: At $Y$, draw a ray $YQ$ making an angle of ${100}^o$ with $YX$.
Step 4: The point of intersection of the two rays $XY$ and $YQ$ is $Z$.

• A. Step 1
• B. Step 2 and Step 4
• C. Step 3
• D. Step 4

Answer 1

The correct option is D Step 4

Given $△XYZ$ and $XY=6$ $cm,\angle ZXY={30}^o,\angle XYZ={100}^o$

So, steps of drawing $△XYZ$

Step $I:$ Draw a line $XY$ of length $6$ $cm$ as shown in IMAGE $01$.

Step $II:$ Draw a ray $XP$ from $X$ making angle of ${30}^o$ with $XY$ line as shown in IMAGE $02$.

Step $III:$ Draw a ray $YQ$ from point $Y$ making an angle of ${100}^o$ with $XY$ as shown in IMAGE $03$.

Step $IV:$ Extend $XP$ and $YQ$ ray and where they will meet will be the point $Z$ of $△XYZ$.

So, point of intersection will be $Z$ from $XP$ and $YQ$ not $XY$ and $YQ$ not $XY$ and $YQ$.