SOLUTION: In the figure plane E is parallel to plane F, AB is perpendicular to F and AG is the perpendicular bisector of CD. If m∠C-AB-D = 30, what is m∠BDC?
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Question 1013107: In the figure plane E is parallel to plane F, AB is perpendicular to F and AG is the perpendicular bisector of CD. If m∠C-AB-D = 30, what is m∠BDC?
Image: https://gyazo.com/d2c76b9ec1433620e10a45ca1461bd86
Last 2 tutors were absolutely useless, they told me I'm wrong, please help me with this, take a look at the gyazo for clarification. Do not ask me what m∠C-AB-D = 30 means. How the hell am I supposed to know? I'm giving a screenshot for a reason. The teacher gave us a packet to finish as a midterm review guide but this question makes no sense.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given:
E || F
AB is perpendicular to F, => AB is perpendicular to E because E || F
AG is the perpendicular bisector of CD-> I think it should be BG is the perpendicular bisector of CD
If < (this is angle between line segment AB and plane in which triangle ACD lie), is same as and )
since is the perpendicular bisector of , means line segment , consequently ; so, triangle is divided into two right triangles by
then we know that:
1. measure of angles vertex and is
2. sides and are equal in length, then triangles , , and are right triangles which are
take a look at similar triangles and :
angles vertex and are both
corresponds to
correspond to
is common side
if corresponds to and < , then the < too
consequently
<
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