Question

Answer any 5 questions​

Answer 1

Answer:

30. <PQT + <PQR = 180° (LINEAR PAIR)

110° + <PQR = 180°

<PQR = 180° - 110°

= 70°

<SPR = <PQR + <PRQ (EXTERIOR ANGLE PROPERTY)

135° = 65° + <PRQ

<PRQ = 135° - 65°

=65°

31. LET THE ANGLES OF QUADRILATERAL BE 3x,5x,9x and 13x

Therefore,

3x+5x+9x+13x = 360° (SUM OF ANGLES OF QUADRILATERAL IS 360°)

30x = 360°

x = 360°/30

x = 12°

Hence,

3x = 3×12 = 36°

5x = 5×12 = 60°

9x = 9×12 = 108°

12x = 13×12 = 156°