Question

15. In triangle ABC, D and E are the mid points of AC and BC. Find
Angle ABC and length of DE.
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Answer 1

NOW IN TRIANGLE DEC

ANGLE E= 180-(35+65)

ANGLE E= 180-100

ANGLE E= 80

DE PARALLEL TO AB (MIDPOINT THEOREM)

BE IS TRANSVERSAL OF DE & AB

THEREFORE,

ANGLE ABC = ANGLE DEC (CORRESPODING ANGLE)

ANGLE ABC = 80

DE IS HALF AB.

DE = 1/2 AB