Ireally need understanding this! .

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=

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).

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions