Question

$△$XYZ is drawn with the length of side XZ being 4.7 cm. If $\angle$X is 80${}^{\circ }$ and $\angle$Z is 65${}^{\circ }$, then, the measure of $\angle$Y and the length of side YZ respectively are

• A. 35${}^{\circ }$, 8 cm
• B. 35${}^{\circ }$, 7.4 cm
• C. 45${}^{\circ }$, 8 cm
• D. 45${}^{\circ }$, 7.4 cm

Answer 1

The correct option is A

35${}^{\circ }$, 8 cm

Steps of construction of $△$XYZ:

Step 1:
Draw the base line XZ of the length 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 $△$XYZ is complete, as shown below.

Now, from the above construction the measure of $\angle$Y is 35${}^{\circ }$ and the length of side YZ is 8 cm.