Question

Number 7 and 8 please

Answer 1

7. You are given two angles and their sum, all in terms of x. Set the sum equal to the sum:

... (4x -1) +(2x +15) = (8x +8)

... 6 = 2x . . . . collect terms, subtract 6x+8

... 3 = x . . . . . divide by 2

To find the angles, fill in this value for x

∠AOB = 4·3 -1 = 11

∠BOC = 2·3 +15 = 21

∠AOC = 8·3 +8 = 32

8. Same deal.

... ∠BOC + ∠COD = ∠BOD

... (3x -10) +(8x +13) = (12x -6)

... 9 = x . . . . . . . . subtract 11x-6

And the angle values are ...

∠BOC = 3·9 -10 = 17

∠COD = 8·9 +13 = 85

∠BOD = 12·9 -6 = 102