Question

a triangle has interior angle measures of 74°, 32°, and t. what is the value of t? t = °

Explanation:

Step1: Recall the sum of interior angles of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(74^{\circ}+32^{\circ}+t = 180^{\circ}\).

Step2: Simplify the left - hand side

First, calculate \(74 + 32\). \(74+32=106\). Then the equation becomes \(106^{\circ}+t = 180^{\circ}\).

Step3: Solve for \(t\)

Subtract \(106^{\circ}\) from both sides of the equation. \(t=180^{\circ}-106^{\circ}\).
\(t = 74^{\circ}\)

Answer:

\(74\)