Question

applying the angle addition postulate
if ( mangle bgf = 152^{circ}), what is ( mangle agf?)

Explanation:

Step1: Use the Angle Addition Postulate

According to the Angle Addition Postulate, \(m\angle BGF=m\angle AGF + 88^{\circ}\).

Step2: Solve for \(m\angle AGF\)

Rearrange the formula: \(m\angle AGF=m\angle BGF - 88^{\circ}\). Substitute \(m\angle BGF = 152^{\circ}\) into the formula. So \(m\angle AGF=152^{\circ}- 88^{\circ}\).

$$m\angle AGF = 64^{\circ}$$

Answer:

\(64^{\circ}\)