Question
A triangle can have two right angles.
✓
Answer
According to the angle sum property of the triangle In $\triangle\text{ABC}$ $\angle\text{A}+\angle\text{B}+\angle\text{C}=180^\circ$
Now, if there are two right angles in the triangle Let $\angle\text{B}=\angle\text{C}=90^\circ$
Then, $\angle\text{A}+90^\circ+90^\circ=180^\circ$
$\angle\text{A}+180^\circ=180^\circ$
$\angle\text{A}=180^\circ-180^\circ$
$\angle\text{A}=0^\circ$ (This is not possible.)
Now, if there are two right angles in the triangle Let $\angle\text{B}=\angle\text{C}=90^\circ$
Then, $\angle\text{A}+90^\circ+90^\circ=180^\circ$
$\angle\text{A}+180^\circ=180^\circ$
$\angle\text{A}=180^\circ-180^\circ$
$\angle\text{A}=0^\circ$ (This is not possible.)
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Line segment joining the center to any point on the circle is a radius of the circle,
The graph given below represents the linear equation $x + y = 0.$
→State whether the following statement are true or false. Give reason for your answer. Every whole number is a natural number.
The following statements are true $(T)$ and which are false $(F)?$ Give reasons. Two lines perpendicular to the same line are perpendicular to each other.
→The following statements are true $(T)$ and which are false $(F): $ All the angles of a triangle can be equal to $60^\circ .$
→State whether the following statement are true or false. Give reason for your answer. Every integer is a rational number.
A terminated line can be produced indefinitely on both the sides.
Which of the following statements are true $(T)$ and which are false $(F)?$ In a parallelogram, the diagonals bisect each other.
→Write whether the following statement are True or False. Every polynomial is a binomial.
Write the truth value $(T/F)$ of the following with suitable reasons: Sector is the region between the chord and its corresponding arc.
→