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°

13

step-by-step explanation:

distance formula is d=√(x2-x1)^2   +   (y2-y1)^2

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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