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The angles of a triangle are x, y, and 40°. The difference between the two angles x and y is 30°. Find x and y

Solution:

Given,

x, y, and 40° = the angles of a triangle.

Since the sum of all the angles of a triangle is 180°

x + y + 40° = 180°

x + y = 140°------------(1)

x-y = 30°--------------(2)

Adding (1) and (2), we get,

2x =170°

x = 85°

Substituting x = 85° in (1), we get,

85° + y = 140°

y = 55°.

x = 85°

y = 55°.

Therefore, the values of x and y are 85° and 55°, respectively.

✦ Try This: The angles of a triangle are x, y, and 50°. The difference between the two angles x and y is 40°. Find x and y

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3

NCERT Exemplar Class 10 Maths Exercise 3.3 Problem 15

The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. Find x and y

Summary:

The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. The values of x and y are 85° and 55°, respectively

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