Respuesta :
90 + 9x + 1 + 5x - 12 + 8x + 61 = 360
22x + 140 = 360
22x = 220
x = 10
m<D = 5(10) - 12 = 50 - 12 = 38
Answer: m<D = 38 degrees.
Hello!
All of these angles will add up to 360°. We can write an equation below.
90+9x+1+5x-12+8x+61=360
Now we combine like terms.
140+22x=360
We subtract 140 from both sides.
22x=220
We divide both sides by 22.
x=10
Now we plug this into the equation for angle D.
5(10)-12
50-12
38
Therefore, m∠D=38°
I hope this helps!