Question

what is the value of t?
h
i
68°
g
t = \square°

Explanation:

Step1: Identify triangle type

The triangle has two equal sides (marked with red crosses), so it is isosceles. In an isosceles triangle, the angles opposite the equal sides are equal. Angle \(t\) is opposite side \(IG\), and angle \(\angle G\) is opposite side \(HI\), so \(\angle G = t\).

Step2: Use triangle angle sum

The sum of angles in a triangle is \(180^\circ\).
\(t + t + 68^\circ = 180^\circ\)

Step3: Simplify and solve for t

Combine like terms: \(2t = 180^\circ - 68^\circ\)
Calculate the right-hand side: \(2t = 112^\circ\)
Solve for t: \(t = \frac{112^\circ}{2}\)

Answer:

\(56\)