Question

Two of the angles in a triangle measure 51° and 25°. What must be the measure of the third angle?

Answer 1

The measure of the third angle must be 104°

Explanation:

Interior Angles of a Triangle

In any given triangle, the sum of its interior angles is 180°.

We are given the angles x=51° and y=25°. To find the third angle, z, we set up the equation:

x + y + z = 180

Solving for z:

z = 180 - x - y

Substituting:

z = 180 - 51 - 25

z = 104°

The measure of the third angle must be 104°