1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it: 5x - 29 = 3x + 19 - 3x 2x - 29 = 19 + 29 2x = 48 ÷ 2 x = 24
2. So for this part you would substitute the value of x and then minus that angle from 180: 3 × 24 = 72 72 + 7 = 79° 180 - 79 = 101° = ∠1
3. 180 = 101 = 79° = ∠2
4. 180 - 79 = 101° = ∠3
5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4
6. 180 - 101 = 79° = ∠5
7. 180 - 101 = 79° = ∠6
8. To find angle 7, you have to substitute in x again, so: 5 × 24 = 120 120 - 29 = 91 180 - 91 = 89° = ∠7
9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8
10. Angles 2 and 3 are supplementary, which means they add up to 180°.
