Question

In the figure shown, $\Delta$ABC can be constructed using ruler and compass. Say true or false.

• A. True
• B. False

Answer 1

The correct option is A

True

In the figure, $\angle$ACB + $\angle$ACD = 180${}^{\circ }$ (Linear Pair)

So, $\angle$ACB = 180${}^{\circ }$ - 75${}^{\circ }$ = 105${}^{\circ }$

In $\Delta$ABC, we now know the lengths of sides AC, AB and measure of included angle $\angle$ACB. So, it is true that it can be constructed (using SAS approach).