Question

1. In Fig. 10.31, OA and OB are opposite rays: (i) If x = 25°, what is the value of y? (ii) If y = 35°, what is the value of x2 С 'c (2y + 5) 3xº А O B O A B Fig. ​

Answer 1

Answer:

(I) Given x = 25

We know that AOC and BOC are linear pair of angles

Therefore, AOC+BOC=180

(2y+5)+3x=180

2y+5+75=180

2y+80=180

2y=180-80

2y=100

y=100/2

y=50°

(ii) Given y= 35°

Therefore, AOC+BOC=180

(2y+5)+3x=180

(2×35+5)+3x=180

75+3x=180

3x=180-75

3x=105

x=105/3

x=35