Question

$△$ABC is drawn with the length of side BC being 9.6 cm. If $\angle$B is 25${}^{\circ }$ and $\angle$C is 110${}^{\circ }$, then the measure of $\angle$A and the length of side AC respectively are

• A. 25${}^{\circ }$, 5.8 cm
• B. 45${}^{\circ }$, 5.8 cm
• C. 25${}^{\circ }$, 12.6 cm
• D. 45${}^{\circ }$, 12.6 cm

Answer 1

The correct option is B

45${}^{\circ }$, 5.8 cm

Steps of construction of $△$ABC:

Step 1:
Draw the base line BC of the length 9.5 cm.

Step 2:
Measure the angle B with your protractor. Make a mark at 25 degrees and draw a line from B passing through the mark.

Step 3:
Measure the angle C with your protractor. Make a mark at 110 degrees and draw a line from C passing through the mark.

Step 4:
Name the point of intersection of these two lines as A and the $△$ABC is complete, as shown below.

Now, from the above construction, the measure of $\angle$A is 45${}^{\circ }$ and the length of side AC is 5.8 cm.