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<DEB= 125 degrees

Step-by-step explanation:

To get this, you would need to know all 2 angles of the triangle.

To find the first angle, simply do 180-107 to get 73(because supplementary angles add up to 180 degrees).

Next, 180-52(given angle)-73 to get 55 because the 3 angles of a triangle add up to 180(triangle angle sum theory).

You would see that <DEB is part of another supplementary angle so, do 180-55 to get 125.

<DEB=125 degrees.

125 is the answer.

Step-by-step explanation:

Let's calculate all the internal angles in the triangle 1st.

∠ACE + ∠ECB =180

107 +∠ECB =180

∠ECB =73

The sum of internal angles in a triangle is 180 so

∠ECB +∠EBC +∠CEB =180

73+52+∠CEB=180

∠CEB=180-125

∠CEB = 55

Since CB is a line

∠CEB +∠DEB =180

55+∠DEB =180

∠DEB=125

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

94

step-by-step explanation:

average the numbers and use a variable to figure out the minimum to get a 90.

(79+94+91+92+x)/5=90

x = 94