Question

BC|| CD
FIND x y and z​

Answer 1

Answer:

Y = 110°

Z = 110°

X = 30°

Step-by-step explanation:

Corresponding angles are same so x = 30 degrees and angle y and z are equal.

Answer 2

Answer :

x = 30° , y = 110° , z = 110°

Solution :

• Angle sum property of a triangle : The sum of all the three interior angles of a triangle is equal to 180° .

Thus , In ∆ABC , we have ;

=> ∠A + ∠B + ∠C = 180°

=> 40° + 30° + y = 180°

=> y + 70° = 180°

=> y = 180° - 70°

=> y = 110°

Also ,

Since DE||BC and AB is transversal , thus

=> ∠ADE = ∠ABC

=> x = 30°

[ °•° corresponding angles are equal ]

Also ,

Since DE||BC and AC is transversal , thus

=> ∠AED = ∠ACB

=> z = y

=> z = 110°

[ °•° corresponding angles are equal ]

Hence ,

x = 30° , y = 110° , z = 110° .