Question

in the figure below, ( mangle fgj = 54^{circ} ) and ( mangle 2 = 29^{circ} ).
find ( mangle 1 ).

Explanation:

Step1: Analyze the relationship between angles

We know that \(m\angle FGJ=m\angle1 + m\angle2\) (angle - addition postulate).

Step2: Solve for \(m\angle1\)

Rearrange the formula to \(m\angle1=m\angle FGJ - m\angle2\).
Substitute \(m\angle FGJ = 54^{\circ}\) and \(m\angle2 = 29^{\circ}\) into the formula: \(m\angle1=54^{\circ}-29^{\circ}\).

Answer:

\(25\)