The measures of the angles of lmn are in the ratio 1: 2: 5. what are the measurements of the angles

I assume LMN here refers to a triangle, in which case we know that its interior angles have to add to 180°. What this ratio is saying is that, if we split that 180 up into some number of pieces, one of the angles is going to take up 1 of those pieces, one is going to take up 2 pieces, and one is going to take up 5 pieces. How many pieces did we split the 180 up into the first place? Adding up all of the pieces, we find that the number is 1 + 2 + 5 = 8.

Splitting 180 up 8 ways makes the value of each piece 180 ÷ 8 = 22.5, so the measures of our angles are

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.

answer: the is put the 450

step-by-step explanation: