Use △def, shown below, to answer the question that follows: triangle def where angle e is a right angle. de measures x. df measures 55. angle d measures 49 degrees. what is the value of x rounded to the nearest hundredth? type the numeric answer only in the box below.

36.08

Step-by-step explanation:

Side DE is the side adjacent to ∠D.  Side DF is the hypotenuse of the triangle.  Adjacent/hypotenuse is the ratio for cosine; this gives us the equation

To solve this, multiply both sides by 55:

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: