Question

Please answer this questions

Answer 1

Answer:

x = 50 degree found by working out c and d

y = 35 degree

z = 105 degree

Step-by-step explanation:

c is solved 180-85 = 95 as all straight lines equal (180)

d is solved 85-35 = 50 as it is alternate of c (85)

x is found  85 - 35 = 50 degree as it is part of d and not supplementary

y is found  180-95 = 85 then 85-50 = 35 as angles are adjacent and add up to 180 degree.

z is found 180-75 = 105 as angles are adjacent and add upto 180 degree but z is also alternate to missing c angle

Answer 2

Answer:

Step-by-step explanation: since ab||ef, line cd is a transversal

x+35°=85° (alternate interior angles)

x=85-35

x= 50°

taking bd as a transversal

y= 35° (alternate interior angles)

taking bz as a transversal

y+z+40°= 180° (interior angles on the same side of the transversal)

z+35°+40°= 180°

z+75°= 180°

z= 180-75

z= 105°

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