QR is the chord of a circle with center o. p is a point on major arc QR as shown in figure. What is the value of ∠QPR + ∠OQR?

One of the diagonals of a rhombus is 70% of the other diagonal, what is the ratio of area of rhombus to the square of the length of the larger diagonal? 

In the given figure, AB‖CD, find the value of x:

In the given figure, ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle?

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QT is 25 cm, then what is the distance (in cm) between the centres O₁ and O₂ of the two circles?

In the given Figure ∠PQA = 20° and ∠APQ = 120° then the find out the ∠ PAQ=?

Find the value of x in the given figure.

In the given figure, PQR is an equilateral triangle and PS is the angle bisector of angle P. What is the value of RT : RQ?