Question

In the figure, L//M and t, s are transversals find the x, y, z. ​

Answer 1

Answer:

x + 100° = 180° ( linear pair )

x = 180° - 100°

x = 80°

y = 100° ( corresponding angles )

z = 100° ( corresponding angles )

I hope it will help you

Answer 2

• Value of x is 80°.
• Value of y is 100°.
• Value of z is 100°.

Step-by-step explanation:

To find:-

• Value of x, y and z.

Solution:-

We know,

Sum of all angles forms on a straight line is equal to 180°. We can also say this statement 'Linear pair'.

So,

$\leadsto$ 100° + x = 180°

$\leadsto$ x = 180° - 100°

$\leadsto$ x = 80°.

Sum of two adjacent interior angles when two parallel lines intersect by an transversal is 180°. This statement is also known as 'Co-interior angles'.

So,

$\leadsto$ y + x = 180°

$\leadsto$ y + 80° = 180°

$\leadsto$ y = 180° - 80°

$\leadsto$ y = 100°

Now,

∠1 = 100° [By Vertically opposite angles]

Then,

z = ∠1 = 100° [By corresponding angles]

Therefore,

Value of x is 80°, y is 100° and z is 100°.