Question

Write the measure of each angle of an isosceles right-angled triangle.

• A. ${45}^o,{90}^{o}and{45}^o$
• B. ${30}^o,{90}^{o}and{60}^o$
• C. ${60}^o,{60}^{o}and{60}^o$
• D. ${30}^o,{120}^{o}and{30}^o$

Answer 1

The correct option is A ${45}^o,{90}^{o}and{45}^o$

Since, the angle is right angled isosceles triangle. One of the angles will be ${90}^{\circ }$. let the other two angles be $x$
Thus, sum of angles = 180
$90+x+x=180$
$2x=90$
x = ${45}^{\circ }$
The measure of each angle is: ${45}^{\circ },{45}^{\circ },{90}^{\circ }$