Question

in the given figure d e parallel BC find the measure of angle X Y and Z ​

Answer 1

⭐⭐Hey mate ⭐⭐

Here is the answer :-

As we know that when a transvarsal cuts parallel lines , the corresponding angles, the alternate angle , are equal .

The sum of all interior angle is 180° and that of exterior angle is 180°

Here ,

Z = 40° because of corresponding angles .

as we know that the sum of all interior angle is 180° .

Here , <ADE + <DEA+ <DAE = 180°

=> Y + 40° + 30° = 180°

=> Y = 180° - 70°

=> Y = 110°

Y = X

because of corresponding angles .

X = 110°

$\huge \boxed {X\;=110°}$

$\huge \boxed {Y\;=110°}$

$\huge \boxed {Z\;=40°}$

Hope it will be helpful...