Question

in given figure AB||DC, Angle BDC is 30° and Angle BAD is 80° then find angle,x,y&z

Answer 1

x is 30 alternate angles
30 +80+y is 180
y = 180 -110=70
30 +y-30+z=180
30+70-30+z=180
z=180-70=110

Answer 2

∠x = 30°, ∠y = 70°, ∠z = 110°

Step-by-step explanation:

As we know,

AB║DC

so,

X = 30°          (∵ Alternate angles are equal)

In ΔABD,

∠A + ∠B + ∠D = 180°      (∵ sum of the three angles of the triangle)

80° + 30° + ∠D = 180°

∠y = 180° - 110°

Y = 70°

In ΔBDC,

30° + y-30° + Z = 180°         (∵ angle sum property)

30° + (70° - 30°) + ∠C = 180°

Z = 180° - 70°

Z = 110°

Learn more: Find the required angles

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