Question

Question 2
A triangle can be constructed by taking two of its angles as
a) ${110}^{\circ },{40}^{\circ }$
b) ${70}^{\circ },{115}^{\circ }$
c) ${135}^{\circ },{45}^{\circ }$
d) ${90}^{\circ },{90}^{\circ }$

Answer 1

We know that, the sum of all the angles of a triangle is equal to ${180}^{\circ }$
So, sum of any two angles of a triangle should be less than ${180}^{\circ }$
${110}^{\circ }+{40}^{\circ }={150}^{\circ }$ i.e. less than ${180}^{\circ }$
${70}^{\circ }+{115}^{\circ }={185}^{\circ }$ i.e. greater than ${180}^{\circ }$
${135}^{\circ }+{45}^{\circ }={180}^{\circ }$ i.e. equal to ${180}^{\circ }$
${90}^{\circ }+{90}^{\circ }={180}^{\circ }$ i.e. equal to ${180}^{\circ }$
Hence, (a) is the correct option.