Question

Can two acute angles form a linear pair?

Answer 1

Let $\angle \mathrm{A}$ and $\angle \mathrm{B}$ are acute angles

Linear pairs of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two-line the sum of linear pair angles$={180}^0$.

$\Rightarrow \angle \mathrm{A}+\angle \mathrm{B}={180}^0$

$$\begin{gathered} \angle \mathrm{A}<{90}^0 \\ \angle \mathrm{B}<{90}^0 \\ \Rightarrow \angle \mathrm{A}+\angle \mathrm{B}<{180}^0\ne {180}^0 \end{gathered}$$

Hence, no, two acute angles cannot form a linear pair.