Question

one of the angles in a triangle measures x degrees. another angle in the measures y degrees. which expression represents the measurement, in degrees, of the third angle of the triangle? a 180 - (x + y) b 180 - x + y c x + y - 180 d x + y + 180

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is $180^\circ$.

Step2: Define the third angle

Let the third angle be $z$. Then $x + y + z = 180$.

Step3: Solve for the third angle

Rearrange the equation to isolate $z$: $z = 180 - (x + y)$.

Answer:

A. $180 - (x + y)$