Given a triangle where two of the angles measure $79°$ and $84°$, what is the approximate measure of the third angle $t$ in degrees?

• A. $101°$
• B. $17°$
• C. $96°$
• D. $84°$

Answer: (B)

Verified step by step guidance

1. Recall that the sum of the interior angles in any triangle is always 180 degrees. This is a fundamental property of triangles.
2. Identify the given angles in the triangle: 79 degrees and 84 degrees.
3. Set up an equation to find the unknown angle \( t \) using the angle sum property: \( 79 + 84 + t = 180 \).
4. Combine the known angles: \( 79 + 84 = 163 \), so the equation becomes \( 163 + t = 180 \).
5. Solve for \( t \) by subtracting 163 from both sides: \( t = 180 - 163 \). This will give the measure of the third angle.