Question

Two angles of a triangle are ${35}^{\circ }\text{and}{65}^{\circ }.$ What kind of triangle it is on the basis of its angles?

Answer 1

We know,
Sum of all angles in a triangle $={180}^{\circ }$
Let the $3^{rd}\text{angle be}{x}^{\circ }$
Then,
${35}^{\circ }+{65}^{\circ }+x={180}^{\circ }$
$\Rightarrow {100}^{\circ }+x={180}^{\circ }$
$\Rightarrow x={180}^{\circ }–{100}^{\circ }$ (Subtracting both sides by ${100}^{\circ })$
$\Rightarrow x={80}^{\circ }$
Since all the angles of triangle are less than${90}^{\circ },$ it is Acute angled triangle”