B, C and D are points on a circle, centre O. AB and AD are tangents to the circle.
Angle BCD = x
B
Find an expression for the size of angle BAD in terms of x.
Give your answer in its simplest form.
Give reasons for each stage of your working.
11
Q
1
hp

Step-by-step explanation:

In circle with center O,

By inscribed angle theorem:

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10