Question

Construct $\Delta$XYZ such that XZ = 4.7 cm, $\angle$X = 80${}^{\circ }$, and $\angle$Z = 65${}^{\circ }$. Find the length of side YZ.

• A. 6 cm
• B. 7 cm
• C. 8 cm
• D. 9 cm

Answer 1

The correct option is C 8 cm

Steps of construction of $△$XYZ:

Step 1:
Draw the line segment XZ = 4.7 cm.

Step 2:
Measure the angle X with your protractor. Make a mark at 80 degrees and draw a line from X passing through the mark.

Step 3:
Measure the angle Z with your protractor. Make a mark at 65 degrees and draw a line from Z passing through the mark.

Step 4:
Name the point of intersection of these two lines as Y and the $\Delta$XYZ is complete as shown below.

Now, from the above construction, the length of side YZ is 8 cm.