Lines, points and planes are all undefined terms in a plane geometry.
- The intersection between plane A and line m is point X.
- [tex]\angle CEB = 45^o[/tex].
- The measure of JHG is [tex]70^o[/tex].
- Only one line can be drawn through points J and K
Plane A and Line m
From the attached figure, we can see that line m cuts across plane A, and they meet at point X.
This means that, their intersection is point X
Measure of [tex]\angle CEB[/tex]
We have:
[tex]\angle CEA = 90^o[/tex]
Since line BE bisects through [tex]\angle CEA[/tex], then:
[tex]\angle CEB = \frac 12 \times \angle CEA[/tex]
So, we have:
[tex]\angle CEB = \frac 12 \times 90^o[/tex]
[tex]\angle CEB = 45^o[/tex]
Measure of [tex]\angle JHG[/tex]
We have:
Line HG is at the [tex]0^o[/tex] mark
Line HJ is at the [tex]70^o[/tex] mark.
This means that:
[tex]\angle JHG = 70^o - 0^o[/tex]
[tex]\angle JHG = 70^o[/tex]
Hence, the measure of [tex]\angle JHG[/tex] is [tex]70^o[/tex]
Number of lines through points J and K
There can be only one line through any two points.
This means that the number of lines through points J and K can only be 1.
Read more about lines, points and planes at:
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