Question

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

Answer 1

Answer:

∠X=35° and ∠Y= 145°

Step-by-step explanation:

As we can see in the picture that the stool makes 35° angle with the floor. So we can say that  ∠OQR=35°

Since the ∠X=∠SPQ and ∠SPQ=∠PQR

We can say ∠X=35°

∠X and ∠Y makes a linear line.

∴ ∠X + ∠Y =180°

=> ∠Y= 180°-35°

=> ∠Y= 145°

Answer 2

Answer:

∠X=35° and ∠Y= 145°

Step-by-step explanation:

As per the question,

From the figure, AB and MN are two parallel lines and that the stool makes 35° angle with the ground, that is

∠OAB = 35°

Since the ∠X=∠MNO and ∠Y=∠NMO

As we know that the interior angle between the two parallel lines is equal.

Therefore,

∠MNO = ∠OAB = 35°

Hence, ∠X=35°

Now, we can see that

∠X and ∠Y makes a straight line and the angle made by a straight line is equal to = 180°

∴ ∠X + ∠Y = 180°

=> ∠Y= 180°-35°

∴ ∠Y= 145°

Hence, the angles  X and Y are 35° and 145° respectively.