Question

Find the values of x, y and z. Also their respective angle measures in each
problem.
Please help fast

Answer 1

(1) (4z+6)° = 106° [alternative crossponding angle]

z = 25°

x° = 180°- 106° [consecutive interior angle]

= 74°  

x° = 2y° (crossponding angle)

74° = 2y°

y° = 37°

(2) 14y-42° = 11y+6°

3y = 48°

y = 16°

(3) 6x+7° = 180° -65°(consecutive interior angle)

6x +7° = 115°

6x = 108°

x = 18°  

(y+9) ° +65° = 180°[supplementry angle]

y+9° = 180° -65°

y = 104°

(4) 5y-4° +3y = 180°

8y = 184°

y° = 23°

and 2x+13° = 3y°

2x + 13° = 3×23

2x = 69-13

2x = 56°

x = 28°

I hope this is helpful for you