Question

The legs of a stool make an angle of 35° with the floor as shown in Fig. Find the angles x and y.

Answer 1

$\bf \huge \color{yellow}Given$

• The Legs of stool make An angle of 35° with the floor.

$\bf \huge \color{yellow}Find$

• The Angles x and y.

$\huge \bf \color{yellow}Solution$

Let the angle made by stool with the floor is A = 35°.

AS WE KNOW THAT ,

Interior angles between two parallel lines is equal.

So that ,

∠ A = ∠ X...(Alternate interior angle)

therefore, ∠x = 35°

∠y + ∠A = 180°..(Co-interior angle)

∠y = 180° - 35° = 145°

therefore, ∠y = 145°

$\bf \huge \color{yellow}Final \: Ans$

∠x = 35° and ∠y = 145°

Answer 2

Given :-

The Legs of stool make An angle of 35° with the floor.

To find:-

The Angles x and y.

$\huge \bf \color{red}Solution$

Let the angle made by stool with the floor is A = 35°.

AS WE KNOW THAT ,

Interior angles between two parallel lines is equal.

So that ,

∠ A = ∠ X...(Alternate interior angle)

therefore, ∠x = 35°

∠y + ∠A = 180°..(Co-interior angle)

∠y = 180° - 35° = 145°

therefore, ∠y = 145°

Ans:-

∠x = 35° and ∠y = 145°