Hila is asked to draw an equilateral triangle abc. first, she draws a horizontal line segment that she labels ab, and it has a length of 8 cm. what could her next step be? use a protractor to measure a 60° angle that has a as its vertex. use a protractor to measure a 60° angle that has the new point c as its vertex. draw another 8 cm segment up from a to a new point c. draw another 8 cm segment up from b to a new point c.

Personally, I would use a compass and straightedge. Since that does not appear to be one of Hila's options, her best choice for a next step is ...

... Use a protractor to measure a 60° angle that has A as its vertex.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180