If < ABC forms a linear pair with < CBD, use the linear pair postulate to determine the value of X. Then find the measure of each angle. X = _ ??

m < ABC _ ??

m < CBD _ ??

Please help! I’ll give brainliest!!

Step-by-step explanation:

2x+13x-15=180 since a linear pair is a pair of consecutive angles that adds up to 180 degrees.

15x-15=180 because we combine like terms.

15x=165 because of the subtraction property of equality.

x=11 by the division property of equality.

abc=22 by substitution and multiplication

cbd=143-15 by substitution and multiplication

cde=128 by subtraction

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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