Fill in the blank with the appropriate angle. Chapter Reference
b
Given:
AD
and
EH
, transversal
BF

∠ACG and are same side interior angles.

∠ACG same side interior angles with ∠CGH and ∠CGE

Step-by-step explanation:

If parallel lines are drawn by a traverse certain angles (which have the same magnitude = equal) are created:

Corresponding Angles: same corners angles

Alternate Interior Angles: Alterative sides of the traverse, and the two crossed lines at the interior.

Alternate Exterior Angles: on the outer side of each of the two lines and on transversal opposite sides

Consecutive Interior Angles: To this side of the transverse with the two lines within. The Consecutive Inside Angles result in up to 180 ° when the two lines are parallel

As we can see from the figure

Alternate Interior Angles:

angles ∠ACG & ∠CGH and ∠DCG & ∠CGE

Consecutive Interior Angles:

angles ∠ACG & ∠CGE and ∠DCG & ∠CGH

Therefore ∠ACG same side interior angles with ∠CGH (Alternate Interior Angles) and ∠CGE (Consecutive Interior Angles)

about 0.75 hours

step-by-step explanation:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.