Question

please answer to question number 9 in the given figure ​

Answer 1

5Q=7S........1

Q+S=180.........2

from 1 and 2 1

Q=105°

Answer 2

Answer:

since, sum of opposite angle of a cyclic quadrilateral is equal to 180° .

Step-by-step explanation:

,i.e., ∠P + ∠R = 180° AND ∠Q + ∠S = 180°

SINCE, 5∠Q = 7∠S

THEREFORE, ∠Q = 7∠S/5 ------   1

NOW, FROM EQ 1

• ∠Q + ∠S = 180°
• 7∠S/5 + ∠S = 180°
• (7∠S + 5∠S)/5 = 180°
• 12∠S = 5 * 180°
• ∠S = 5* 180°/12

• ∠S = 75°

THEREFORE, ANGLE Q IS EQUAL TO 105°