Question

Vikash followed the following steps to construct a triangle $△$XYZ such that XY = 6 cm, $\angle$X = 30${}^{\circ }$ and $\angle$Y = 100${}^{\circ }$


Step 1:
Draw the line segment XY of length 6 cm.

Step 2:
Draw the ray XP making an angle 30${}^{\circ }$ at X.

Step 3:
The ray XP and YQ intersects.

Step 4:
Mark the intersecting point as Z.

Step 5:
Join X, Y and Z to get the required $△$XYZ.

Which of the step is missing for constructing this $△$ABC?

• A. Draw the ray YQ making an angle 100${}^{\circ }$ at Y.
• B. Draw the ray XQ making an angle 100${}^{\circ }$ at X.
• C.
  Draw the ray XQ making an angle 60${}^{\circ }$ at X.
• D. Draw the ray YQ making an angle 60${}^{\circ }$ at Y.

Answer 1

The correct option is A Draw the ray YQ making an angle 100${}^{\circ }$ at Y.

Since, the above data follows from construction of triangle when two angles and included side is given.

Hence, following the steps of construction of triangles when two angles and one included side is given, if we draw the ray YQ making an angle 100${}^{\circ }$ at Y after step 2, then we can construct a triangle with the given measurements.