Question

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=_____

Answer 1

Use angles theories to solve the angles.

Answer 2

Below in bold.

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).