The legs of a stool make an angle of 35° with the floor as shown in Fig. 5.46. Find the angles x and y
Solution:
Given, the legs of a stool make an angle of 35° with the floor.
We have to find the angles x and y.
Considering l and m are parallel and PQ is a transversal,
If two parallel lines are intersected by a transversal, each pair of alternate interior angles is equal.
So, x = ∠PQR
x = 35°
We know that the sum of a linear pair of angles is always equal to 180 degrees.
So, x + y = 180°
35° + y = 180°
y = 180° - 35°
y = 145°
Therefore, the values of x and y are 35° and 145°.
✦ Try This: If the complement of an angle is 52°, then find its supplement
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 89
The legs of a stool make an angle of 35° with the floor as shown in Fig. 5.46. Find the angles x and y
Summary:
The legs of a stool make an angle of 35° with the floor as shown in Fig. 5.46. The angles x and y are 35° and 145°
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