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I really need help understanding this! Please help.

Find the measures of all the numbered angles in the figure below.

angle 1= ____

angle 2= ____

angle 3=____

angle 4 _____

angle 5= _____

angle 6= _____

angle 7=_____

I really need help understanding this Please helpFind the measures of all the numbered angles in the figure below angle 1 angle 2 angle 3angle 4 angle 5 angle 6 class=

Respuesta :

Use angles theories to solve the angles.

Answer:

Below in bold.

Step-by-step explanation:

Note that the lines q and m are parallel.

m < 1 = 180 - 110 = 70 degrees.  ( adjacent angles)

m < 2 =  180 - 115 = 65 degrees ( adjacent angles)

m < 3 = m < 2 = 65 degrees ( lines q and m are parallel and 2 and 3 are corresponding angles).

m < 4 = 180 - 65 = 115 degrees (adjacent to < 3).

m < 5 = 180 - m < 1 - m < 3 = 180 - 70 - 65 = 180 - 135 = 45 degrees. ( angles in a triangle add up to 180 degrees).

m < 6 = m < 5 = 45 degrees (  q and m are parallel - alternate angles).

m < 7 =- m < 6 = 45 degrees ( opposite angles).