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

Answer 1

To find the measure of the third angle in a triangle, we can use the fact that the sum of the angles in a triangle is always 180°.

Let's denote the angles as follows:

• First angle: 34°
• Second angle: 61°
• Third angle: \( x \)

We can set up the equation:

\[ 34° + 61° + x = 180° \]

Now, combine the known angles:

\[ 95° + x = 180° \]

Next, we can isolate \( x \) by subtracting 95° from both sides:

\[ x = 180° - 95° \]

Calculating that gives:

\[ x = 85° \]

So, the measure of the third angle is \( \boxed{85°} \).