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Saul creates a piece of art. He begins with the figure shown, where stack Z Y with left right arrow on top space parallel to space stack A B with left right arrow on top and m angle W Z X equal 82 degree.

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Saul draws a line located below and parallel to stack A B with left right arrow on top that intersects stack Z A with left right arrow on top at C and stack Z B with left right arrow on top at D. The measure of angle B D C equal 56 degree. What is the measure of angle A C D ?

Respuesta :

akiran007

Answer:

angle ACD=  138 degrees

Step-by-step explanation:

As angle W Z X is  opposite to the angle CZD. Angle CZD is also 82 degree.

If we consider the triangle CZD the angle D  is equal to 180 - 56 =  124 degrees.( angles on a straight line= 180)

The sum of the angles of a triangle is equal to 180 degrees

<C+<D +<Z= 180

<C= 180- 82-56

<C= 42 degrees

Since Angle DCZ= 42 degrees

angle ACD= 180-42  ( angles on a straight line)

angle ACD=  138 degrees

Check

angle ACD+Angle BDC+Angle ABD + angleCAB

138+ 56+124+42 = 360 degrees

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