Question

PLEASE HELP ASAP!!!!!!! WILL GIVE YOU BRAINLIESTA designer for a flooring company is laying out a pattern for a hardwood floor. She begins by placing one board across two parallel boards at a diagonal. She needs to find the measures of the angles formed so that the installer will know how to cut the rest of the floorboards. The designers pattern is modeled belowWhich equations are correct? Select all that apply. a= 52b = 52c = 52 f = 128 g = 128 h=128

Answer 1

By definition, you know that vertical angles are pairs of opposite angles made by intersecting lines, like this

Also, if 2 angles are vertical then they are congruent.

On the other hand, you know that when two lines are crossed by another line (called the Transversal), the angles in matching corners are called Corresponding Angles.

Also, if 2 angles are corresponding angles then they are congruent angles.

On the other hand, two angles without supplementary if they add up to 180 degrees, like this

Then, you have

$\begin{gathered} c=180-128=52\text{ \degree} \\ e=52\text{ \degree} \\ f=128\text{ \degree} \\ b=128\text{ \degree} \\ g=52\text{ \degree} \\ a=52\text{ \degree} \\ h=128\text{ \degree} \end{gathered}$

Therefore, the correct equations are:

a= 52 Yes

b = 52 No

c = 52 Yes

f = 128 Yes

g = 128 No

h=128​ Yes