Question

Two angles of a triangle measure 42.3 and 85.1. write and solve an equation to find the measure of the third angle.

Answer 1

To find the measure of the third angle in a triangle, use the fact that the sum of all three angles in a triangle is 180 degrees. Set up the equation, combine like terms, and solve for the missing angle.

Step-by-step explanation:

To find the measure of the third angle in a triangle, we know that the sum of all three angles in a triangle is 180 degrees. So, we can set up the equation:

x + 42.3 + 85.1 = 180

Combine like terms:

x + 127.4 = 180

Subtract 127.4 from both sides:

x = 180 - 127.4

Simplify:

x = 52.6

Therefore, the measure of the third angle is 52.6 degrees.