Question

the diagram shows a triangle. what is the value of t? t = °

Explanation:

Step1: Recall angle - sum property

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

Step2: Set up the equation

Let the three angles of the triangle be 33°, 105°, and \(t\). Then \(33 + 105+t=180\).

Step3: Simplify the left - hand side

\(33 + 105=138\), so the equation becomes \(138 + t=180\).

Step4: Solve for \(t\)

Subtract 138 from both sides: \(t=180 - 138\).
\(t = 42\).

Answer:

42