Question

Construct $\Delta$XYZ such that XY = 8 cm, $\angle X$ = 40°, and $\angle Y$ = 95°. Find the length of YZ.

• A. 8.3 cm
• B. 7.3 cm
• C. 8.8 cm
• D. 9.3 cm

Answer 1

The correct option is B 7.3 cm

Steps of construction:
Step 1: Draw line segment XY = 8 cm.
Step 2: At X, construct $\angle PXY$ = 40°.
Step 3: At Y, construct $\angle XYQ$ = 95°.
Step 4: Mark the point of intersection of XP and YQ as Z.

From the above construction, measure the length of YZ using ruler.
YZ = 7.3 cm