Question

19.

Answer 1

Answer:

Step-by-step explanation:

1). Since angles P and Q are supplementary,

m∠P + m∠Q = 180°

(5x + 3)° + (x + 3)° = 180°

6x + 6 = 180

6x = 174

x = 29

Therefore, Option (3) is the answer.

2). If a point P lies in the interior of ∠RST,

m∠RST = m∠RSP + m∠TPS

(Since, line SP is bisector of angle RST)

m∠RST = 40° + 10°

             = 50°

Therefore, option (2) is the answer.

3). AB = distance between two points A and B on a number line

          = 8 - (-12)

          = 8 + 12

          = 20

Therefore, length of AB = 20 units.