Question

in the figure below, m∠fgh = 141° and m∠1 = 48°. find m∠2.

Explanation:

Step1: Identify angle - sum relationship

We know that \(m\angle FGH=m\angle 1 + m\angle 2\).

Step2: Rearrange the formula to solve for \(m\angle 2\)

\(m\angle 2=m\angle FGH - m\angle 1\).

Step3: Substitute given values

Substitute \(m\angle FGH = 141^{\circ}\) and \(m\angle 1 = 48^{\circ}\) into the formula: \(m\angle 2=141 - 48\).

Step4: Calculate the result

\(m\angle 2 = 93^{\circ}\).

Answer:

\(93\)