Question

Solve the following briefly :-
(10)
16 The angles of a quadrilateral are in the ratio 3.5:9:13. Find the angles of the quadrilateral
17. Two circies of radii 5 cm and 3 cm intersect at two points and the distance between their centers is 4 cm
Find the length of the common chord
18. In the given figure CPOR -100, where P,Q,R are poins on a circle with centre 0. Find /OPR.
P
100
19. A chord of a circle is equal to the radius of the circle in the
the minor arc and also at​

Answer 1

Answer:

Step-by-step explanation:

Let angle in ratio = 3: 5: 9: 13 be a,b ,c ,d

Let = a= 3x ,b = 5x ,c = 9x ,d = 13x

We know that

The sum of angle quadrilateral is 360°

a + b+ c+ d = 360°

3x + 5x + 9x + 13x = 360°

30x = 360°

x = 360°/30

x = 12°

Hence the angles are

a = 3x = 3 × 12° = 36°

b = 5x = 5 × 12° = 60°

C = 9x = 9× 12° = 108°

d = 13x = 13 × 12° = 156°

This is the Answer