Question

А find value of x, y, z, p where L is parallel to BC. ​

Answer 1

Answer:

z + 105⁰ = 180⁰(linear pair)

z = 180⁰-105⁰

z = 75⁰

x = 30⁰(V.O.A)

p + z + x = 180⁰

p + 75⁰ + 30⁰ = 180⁰

p + 105⁰ = 180⁰

p = 75⁰

p + y = ABD

P + y = 105⁰

75⁰ + y = 105⁰

y = 105⁰- 75⁰

y = 30⁰

Answer 2

Answer:

x = 30° (Vertically opposite angles are equal)

z = 180° -105°  = 75° (Linear pair are supplementary)

p = 180°  - (75°  + 30°) = 180° - 105 = 75° (Sum of angles in a triangle is 180°)

y = x = 30° (Alternate interior angles of 2 parallel lines with a transversal are equal)

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