Question

PQRS is a quadrilateral with  Q = 65° and  S = 105°. If  P and  R are in
the ratio 3:7, find  P and  R.

Answer 1

Answer:

Angle P=57°

Angle R=133°

Step-by-step explanation:

Let angle P and angle R be 3x and 7x

already given,

Angle Q=65°

Angle S=105°

We know that

sum of angle of a quadrilateral is 360°

angle P + angle Q + angle R+ angle S = 360°

3x + 65° + 7x + 105° = 360°

10x + 170° = 360°

10x = 360° - 170°

10x = 190°

x = 190°/10

x = 19

3x = 3×19 = 57°

7x = 7×19 = 133°