Find the measure of angle BDE. ML ABC=155
and muc=60.
155
C
B
bo
x
E

∠ BDE = 85°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABC is an exterior angle of the triangle, then

∠ C + ∠ BDC = 155

60 + ∠ BDC = 155 ( subtract 60 from both sides )

∠ BDC = 95°

∠ BDE and ∠ BDC are adjacent angles and are supplementary, thus

∠ BDE = 180° - 95° = 85°

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