Question

please help me solve this!​

Answer 1

Answer:

Answer of first Question

Step-by-step explanation:

Y=75

X=180-75=105

Y will be 75 because it is vertically opposite as shown in the figure. X is obtained by its subtraction from 180 because angle on a straight line is 180

Answer 2

1)

As we see x and the given angle is complementary,

So

X + 75 = 180

=> X = 180- 75

=> X = 105°

X and Y lie in a straight line, so X + Y = 180°

Substituting value of x in this equation we get Y = 75°

2) Clearly from the diagram MPS and NPS from a straight line

So,

7x + 8x = 180

15x = 180

X = 12

NPR and MPS are vertically opposite angles

So,

NPR = MPS = 7x

= 7×12

= 84°

Similarly

RPM = NPS = 8X

= 8 × 12

= 96°