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topjm [15]
2 years ago
6

What is the corollary to the triangle exterior angle theorem? 45 points Will give brainliest ^^

Mathematics
2 answers:
dedylja [7]2 years ago
6 0

Answer:

In the diagram shown, if m<AGF  =  64°, m<CGE  =  84°, then m<DGB    =    32°

From the figure shown:

m<AGF  =  64° (Given)

m<CGE  =  84° (Given)

m<AGF   =  m<BGE  (Vertically opposite angles are equal)

m<AGF  =  m<BGE   =  64°

m<CGE  +  m<BGE  +  m<DGB   =  180° (Sum of angles on a straight line)

84   +  64  +   m<DGB   =   180

148   +   m<DGB    =   180

m<DGB    =   180   -  148

m<DGB    =    32°

Therefore, in the diagram shown, if m<AGF  =  64°, m<CGE  =  84°, then m<DGB    =    32°

Step-by-step explanation:

NeX [460]2 years ago
3 0

Answer:

the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

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