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# SAT Lines and Angles



In the figure above, $$\overline{OB}$$ bisects $$\angle AOC$$ and $$\overline{OD}$$ bisects $$\angle COE.$$ If $$m \angle AOB = 50^\circ,$$ what is the measure of $$\angle DOE?$$

(A) $$\ \ 25$$
(B) $$\ \ 40$$
(C) $$\ \ 80$$
(D) $$\ \ 100$$
(E) $$\ \ 130$$

$$A, B$$ and $$C$$ are points on a line. If $$AB=11$$ and $$BC=2,$$ which of the following statements could be true?

$$\begin{array}{l l l c l} &\text{I.} &AC &=& 9\\ &\text{II.} &AC &=& 11\\ &\text{III.} &AC &=& 13\\ \end{array}$$

(A) $$\ \$$I only
(B) $$\ \$$III only
(C) $$\ \$$I and II only
(D) $$\ \$$I and III only
(E) $$\ \$$I, II, and III



In the figure above, $$B$$ is the midpoint of $$\overline{AE},$$ $$C$$ is the midpoint of $$\overline{AB},$$ and $$D$$ is the midpoint of $$\overline{CB}.$$ If $$DB=9,$$ what is the length of $$\overline{DE}?$$

(A) $$\ \ 9$$
(B) $$\ \ 18$$
(C) $$\ \ 27$$
(D) $$\ \ 36$$
(E) $$\ \ 45$$



In the above diagram, $$\overline{AD}$$, $$\overline{BE}$$, and $$\overline{CF}$$ are straight lines and $$m \angle AOB = a^\circ = 69^\circ, m \angle COD = b^\circ = 32^\circ,$$ and $$m \angle FOE = x^\circ.$$ Which of the following is the value of $$x$$?

(A) $$\ \ 32$$
(B) $$\ \ 79$$
(C) $$\ \ 101$$
(D) $$\ \ 143$$
(E) $$\ \ 281$$


If the measure of $$\angle p$$ is $$51^\circ$$, what is the measure of $$\angle s?$$

(A) $$\ \ 39$$
(B) $$\ \ 51$$
(C) $$\ \ 90$$
(D) $$\ \ 129$$
(E) $$\ \ 141$$

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