Question

two angles in a triangle measure 34° and 61°. what is the measure of the third angle?

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°.

Step2: Set up the equation

Let the third angle be $x$. Then $34 + 61+x=180$.

Step3: Simplify the left - hand side

$34 + 61=95$, so the equation becomes $95 + x=180$.

Step4: Solve for $x$

Subtract 95 from both sides: $x=180 - 95$.
$x = 85$.

Answer:

85