Question : Which of the following set of angles forms a triangle?

Option 1: 60°, 70°, 80°

Option 2: 60°, 70°, 30°

Option 3: 60°, 40°, 80°

Option 4: 60°, 50°, 80°

Question : M is the incentre of the $\triangle $XYZ. If $\angle $YXZ + $\angle $YMZ = 150°, then what is the value of $\angle $YXZ?

Option 1: 40°

Option 2: 55°

Option 3: 60°

Option 4: 45°

Question : If $2\tan^2A+4\cos^4A=3$, then the possible value of $A$ is:

Option 1: 45°

Option 2: 60°

Option 3: 0°

Option 4: 30°

Question : If $\sin (A-B)=\frac{1}{2}$ and $\sin (A+B)=1$, where A and B are positive acute angles and $ A \geq B$ then A and B are respectively:

Option 1: 80° and 10°

Option 2: 60° and 30°

Option 3: 70° and 20°

Option 4: 50° and 40°

Question : If $\frac{x}{y}=\frac{4}{5}$, then the value of $(\frac{4}{7}+\frac{2y–x}{2y+x})$ is:

Option 1: $\frac{3}{7}$

Option 2: $1\frac{1}{7}$

Option 3: $1$

Option 4: $2$