In Fig. 5.15, the value of y is
a. 30°
b. 15°
c. 20°
d. 22.5°

Solution:

Given, the figure represents a straight line with two rays.

We have to find the value of y.

We know that the sum of angles on a straight line is always equal to 180 degrees.

So, sum of the angles = 180°

6y + y + 2y = 180°

9y = 180°

y = 180°/9

y = 20°

Therefore, the value of y is 20°

✦ Try This: Find x; if ∠1=5x+15° and ∠2=28x, angles form linear pair

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 16

In Fig. 5.15, the value of y is: a. 30°, b. 15°, c. 20°, d. 22.5°

Summary:

In Fig. 5.15, the value of y is 20°

☛ Related Questions:

• In Fig. 5.16, PA || BC || DT and AB || DC. Then, the values of a and b are respectively: a. 60°, 120 . . . .
• The difference of two complementary angles is 30°. Then, the angles are: a. 60°, 30°, b. 70°, 40°, c . . . .
• In Fig. 5.17, PQ || SR and SP || RQ. Then, angles a and b are respectively: a. 20°, 50°, b. 50°, 20° . . . .