Question

$△$XYZ is drawn with the length of side XZ being 4.7 and the length of side YZ is 8 cm. If $\angle$Z is 65${}^{\circ }$, then, what is $\angle$Y? ( in degrees)

• A. 35

Answer 1

The correct option is A 35

Steps of construction of $△$XYZ:

Step 1:
Draw the base line XZ of the length 4.7 cm.

Step 2:
Measure the angle Z with your protractor. Make a mark at 65 degrees and draw a line from Z passing through the mark.

Step 3:
Draw an arc from point Z so that it intersects the ray from Z at a distance of 8 cm.

Step 4:
Name the point of intersection of the line and the arc as Y and join Y and X the $△$XYZ is complete, as shown below.

Now, from the above construction the measure of $\angle$Y is 35${}^{\circ }$ and $\angle$X is 80${}^{\circ }$.