ACT Math - Angle Chasing

Consider the figure below where points $B$, $A$, and $F$ are collinear. What is the measure of $\angle BAF$?

Consider the figure below where points $D$, $A$, and $C$ are collinear. What is the measure of $\angle BAC$?

In the figure below $\overline{AC} \cong \overline{AE}$, $\angle A = 46^\circ$, $\angle D = 52^\circ$, and $\angle F = 48^\circ$. What is the measure of $\angle B$?

In the figure below $\overline{AC} \cong \overline{AE}$, $\angle A = 38^\circ$, $\angle D = 44^\circ$, and $\angle F = 53^\circ$. What is the measure of $\angle B$?

In the figure below points $A$, $C$, and $B$ are collinear. $\angle ACD = 7x - 20$ and $\angle DCB = 3x$. What is the degree measure of the larger angle?

In the figure below points $A$, $C$, and $B$ are collinear. $\angle ACD = 5x - 4$ and $\angle DCB = 4x - 5$. What is the degree measure of the smaller angle?

In the figure below, lines $j$ and $k$ are parallel, and $\overline{AB} = \overline{BC} = \overline{AC}$. What is the measure of the exterior angle at $\angle B$?

In the figure below, $\overline{AC} = \overline{CE} = \overline{ED} = \overline{DB}$ and $\angle CAE = 30^\circ$. What is the measure of $\angle EDB$?

In the figure below, $\overline{AC} = \overline{CE} = \overline{ED} = \overline{DB}$ and $\angle CAE = 35^\circ$. What is the measure of $\angle EDB$?

In the figure below, $j \parallel k$, $\angle ACG = 55^\circ$, and $\overline{ED} = \overline{DG}$. What is the measure of $\angle D$?

In the figure below, $j \parallel k$, $\angle ACG = 53^\circ$, and $\overline{ED} = \overline{DG}$. What is the measure of $\angle D$?

In the figure below, $\overline{AB} \parallel \overline{CD}$, $\overline{EF} = \overline{FG}$, and $\overline{HG}$ bisects $\angle FGD$. If the measure of $\angle FEG = 54^\circ$, what is the measure of $\angle GHB$?

In the figure below, $\overline{AB} \parallel \overline{CD}$, $\overline{EF} = \overline{FG}$, and $\overline{HG}$ bisects $\angle FGD$. If the measure of $\angle FEG = 56^\circ$, what is the measure of $\angle GHB$?

In the figure below, $\overline{AB} \parallel \overline{CD}$, the measure of $\angle FED$ is $x^\circ$, and $\overline{FE}$ bisects $\angle AFE$. Which expression represents the measure of $\angle FGE$ for all values of $x$ between 1 and 90?

In the figure below, lines $j$ and $k$ are parallel, and two angle measures are given. What is the measure of $\angle EDA$?

In the figure below, lines $j$ and $k$ are parallel, and two angle measures are given. What is the measure of $\angle EDA$?

In the figure below, lines $j$, $k$, and $l$ are parallel, and lines $a$ and $b$ are parallel. One angle is given. What is the sum of angles $x$ and $y$?

In the figure below, lines $j$, $k$, and $l$ are parallel, and lines $a$ and $b$ are parallel. One angle is given. What is the sum of angles $x$ and $y$?

In the figure below, $\angle ABC = 125^\circ$, $\overline{AB}$ is a vertical line, and $\overline{CD}$ is a horizontal line. What is the measure of $\angle BCD$?

In the figure below, $\angle ABC = 127^\circ$, $\overline{AB}$ is a horizontal line, and $\overline{CD}$ is a vertical line. What is the measure of $\angle BCD$?