Given: triangle wxy, 1 an exterior . prove: 1 > 2

Step-by-step explanation:

Given triangle WXY and <1 is an exterior angle.

We need to prove <1 is greater than <2.

First statement is:

Triangle WXY and <1 is an exterior angle.

Reason : Given

Note: An exterior angle of a triangle is the sum of two angles side the triangle those don't makes the linear pair with exterior angle.

We can see that <2 and < 3 are the angles of triangle those are not making a linear pair.

Therefore, <1 = <2+< 3.

So, the second statement should be first option <1 = <2+< 3.

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.

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