Question

Find the angles of a triangle if the sum of the first angle and twice the second equals the third

angle, and if four times the second angle is 15 more than the third angle.

Answer 1

The angles of the triangle are expressed using variables x, y, and z, where x = z - 15 and y = 7.5.

Step-by-step explanation:

Let x be the first angle, y be the second angle, and z be the third angle.

From the given information, we have:

1. x + 2y = z
2. 4y = z + 15

Simplifying equation (1), we get:

x = z - 2y

Substituting this value of x into equation (2), we get:

4y = z + 15

z - 2y + 2y = z + 15

2y = 15

y = 7.5

Substituting this value of y into equation (1), we get:

x + 2(7.5) = z

x + 15 = z

x = z - 15

Therefore, the angles of the triangle are x, y, and z, where x = z - 15, y = 7.5, and z is any value such that 2y = z + 15.

Learn more about Angles of a triangle