Question

III) Find the value of a X & Y from the figure given below.​

Answer 1

Answer:

see, here the value if x = 80° and y = 100°

Step-by-step explanation:

see, in the figure, angle A = angle ACD (alternate interior angle)

so angle ACD= 80°

now angle acd +y° = 180° (linear pair)

80° + y° =180°

y° = 180°-80°

y° =100°

Now, angle a = angle x° (alternate exterior angle)

so angle x° = 80°

so finally we concluded that:

Y° = 100° and x° = 80°

HOPE IT WILL BE HELPFUL !!

Answer 2

By property of corresponding angles:

$\displaystyle{\green{80\degree=\angle ABD}}$

Again, By property of vertically opposite angles :

$\displaystyle{\orange{\angle ABD=\angle X}}$

$\bf{\pink{hence,\; X\degree=80\degree}}$

_______________

By the property of interior

alternate angle :

$\displaystyle{\red{80\degree=\angle ACD}}$

And

$\displaystyle{\blue{y\degree+ \angle ACD=180\degree\;\;\;(linear\;pair)}}$

$y \degree + \: 80 \degree = 180 \degree$

$y \degree = 180 \degree - 80 \degree \implies \: y \degree = 100 \degree$

hence , the values are :

$\boxed{\red{➪X\degree=80\degree}}$

$\boxed{\pink{➪Y\degree=100\degree}}$