Chapter 1: Points, Lines, Planes and Angles

$\overleftrightarrow{\mathit{A}\mathit{L}}$bisects $\mathit{\angle }\mathit{K}\mathit{A}\mathit{T}$. Find the value of $\mathit{x}$.

$\mathit{m}\mathbf{\angle }\mathbf{1}\mathbf{=}\mathit{x}$,$\mathit{m}\mathbf{\angle }\mathbf{3}\mathbf{=}\mathbf{4}\mathit{x}$

For the following figure, E is the midpoint $\overline{DF}$. Find the value x, where $DE=5x+3$and $EF=33$.

Find the value of the variable.

$\left(w-20\right)+5w=28$

Sketch and label the figures described. Use dashes for hidden parts.

Point P is not in plane N. Three lines through point P intersect N in points A, B, and C.

Given the diagram, state whether you can reach the conclusion shown.

$m\angle AOF\simeq 130$

$\overleftrightarrow{\mathit{A}\mathit{L}}$bisects $\mathbf{\angle }\mathit{K}\mathit{A}\mathit{T}$. Find the value of $\mathit{x}$.

$\mathit{m}\mathbf{\angle }\mathbf{1}\mathbf{=}\mathbf{2}\mathit{x}\mathbf{-}\mathbf{8}$,$\mathit{m}\mathbf{\angle }\mathbf{3}\mathbf{=}\mathbf{116}$

Given the diagram, state whether you can reach the conclusion shown.

Points E, O, and F are collinear.

Sketch and label the figures described. Use dashes for hidden parts.

Three vertical planes intersect in a line.

Find the value of the variable.

$3x=2x-17$

For the following figure, $E$is the midpoint of $\overline{DF}$. Find the value $x$, where $DE=45$and$EF=5x-10$