Question

a triangle has interior angle measures of 43°, t, and 61°. 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, \(43^{\circ}+t + 61^{\circ}=180^{\circ}\).

Step2: Solve for \(t\)

First, add \(43^{\circ}\) and \(61^{\circ}\): \(43 + 61=104\). Then the equation becomes \(t+104^{\circ}=180^{\circ}\). Subtract \(104^{\circ}\) from both sides: \(t=180^{\circ}- 104^{\circ}\).

Answer:

\(t = 76^{\circ}\)