Solve this math problem and show your work on paper

Given :-

To find :-

Solution :-

Using angle sum property of a ∆ ,

x = 12

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the given angles and equate to 180

2x + 1 + 5x + 5 + 90 = 180 , collect like terms

7x  + 96 = 180 ( subtract 96 from both sides )

7x = 84 ( divide both sides by 7 )

x = 12

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

i would need to see the dot plot : )