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Triangle ABC is an isosceles right triangle with a right angle at A. Points D and E trisect side AC . What is the degree measure of angle BDE?

 

 Nov 1, 2020
 #1
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because ABC is an issosolies right triangle, the angles measure 90, 45 and 45 degrees

the measure of ABD=45 degrees and side AC is trisected --> the measures of ABE EBD and DBC are all 15

in triangle DEB we only know angle DBC BUT we can figure out CDB

180=DCB+BCD+CDB

180=15+45+CDB

CDB=120

CDB+BDE=180 because they make a line

120+BDE=180

the measure of BDE=60 degrees

 Nov 2, 2020
edited by power27  Nov 2, 2020
 #2
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angle BDA = arctan(3/2) = 62.567 degrees

 Nov 2, 2020

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