Circle Geometry Question (1 Viewer)

[lychnobity]

In the diagram, AE is a diameter. Prove that angle ABC + angle CDE = 270.

 

[The Nomad]

Angle EBC + Angle CDE = 180 (opposite angles are supplementary in a cyclic quadrilateral)
Angle ABE = 90 (subtended by diameter AE)

ABE + EBC + CDE = 180 + 90 = 270.

But ABE + EBC = ABC.

So ABC + CDE = 270.

 

[cutemouse]

lol, why are you asking this. Ext 1 HSC is over lol.

 

[Aerath]

Yeah, who cares?

 

[lychnobity]

Not my fault! I have to look smart in front of the year 11 kid asking me.

 

[The Nomad]

I'd swap 10 units of maths for my HSC subjects anyway, so I sure don't blame you for asking even though the exam is over

 

[untouchablecuz]

I'd swap 10 units of maths for my HSC subjects anyway, so I sure don't blame you for asking even though the exam is over

i concur

i wish there was 10 unit math

*daydreams*

 

[The Nomad]

There's always university maths.

Though I wonder how boring life gets once you finish your PhD.