Question

Find the values of x, y and z in each of the following:​

Answer 1

Answer:

x=55 degree

Step-by-step explanation:

that answer is correct

Answer 2

Answer:

(i) x = 85°  z = 95°  y = 95  (ii) z = 134° x = 46° y = 46°

Step-by-step explanation:

i)

∠x = ∠85 ° (Vertically opposite angles)

∠z = 180 - ∠x

∠z = 180 - 85

∠z = 95°

∠y

Solution 1:

∠y = 360 - (∠85 + ∠z + ∠x)

∠y = 360 - (85 + 95 + 85)

∠y = 95°

Solution 2:

∠y = ∠z (vertically opposite angles)

∠y = 95°

Solution 3:

∠y = 180 - ∠x

∠y = 180 - 85

∠y = 95°

ii)

Since l ║ m

m∠z = 180 - 46 (co-interior angles)

m∠z = 134°

m∠x = 46° (Vertically opposite angles)

m∠y

Solution 1:

m∠y = 180 - m∠z

m∠y = 180 - 134

m∠y = 64°

Solution 2:

m∠y = m∠46° (corresponding angles)

m∠y = 46°

Hope this helps