Question : In $\triangle \mathrm{PQR}, \angle \mathrm{P}=46^{\circ}$ and $\angle \mathrm{R}=64^{\circ}$.If $\triangle \mathrm{PQR}$ is similar to $\triangle \mathrm{ABC}$ and in correspondence, then what is the value of $\angle \mathrm{B}$?

Option 1: 70°

Option 2: 90°

Option 3: 100°

Option 4: 110°

Question : If in a $\triangle ABC$, $\angle ABC=5\angle ACB$ and $\angle BAC=3\angle ACB$, then what is the value of $\angle ABC$?

Option 1: $130°$

Option 2: $80°$

Option 3: $100°$

Option 4: $120°$

Question : In $\triangle ABC$ and $\triangle PQR, \angle B=\angle Q, \angle C=\angle R$ and $AB=2PQ$, then the two triangles are:

Option 1: congruent as well as similar

Option 2: neither similar nor congruent

Option 3: similar but not congruent

Option 4: congruent but not similar

Question : In a $\triangle ABC$, $\angle A +\angle B=70°$ and $\angle B+\angle C=130°$.Then, the value of $\angle A$ is:

Option 1: 20°

Option 2: 50°

Option 3: 80°

Option 4: 200°

Question : In a circle if PQ is the diameter of the circle and R is on the circumference of the circle such that $\angle$PQR = 30°, then $\angle$RPQ =?

Option 1: 90°

Option 2: 60°

Option 3: 30°

Option 4: 45°