Answer:
The answer for ∠CDF is 30°.
Step-by-step explanation:
It ia given that complemetary angle is 90° so we can make an expression in terms of x :
It ia given that complemetary angle is 90° so we can make an expression in terms of x :∠AFB + ∠BFC + ∠CFD = 90°
32° + (x+9)° + (2x-8)° = 90°
In order to find ∠CFD, we have to find the value of x first so we have to move all the like-terms to one side :
32° + x + 9° + 2x - 8° = 90°
2x + x = 90° - 32° - 9° + 8°
3x = 57°
Then divide both sides by 3 :
3x ÷ 3 = 57° ÷ 3
x = 19°
We have already found the value of x. Now, the question ask us to find ∠CDF, (2x-8)°. We just have to substitute x value into the expression :
Let x = 19,
∠CDF = 2x - 8
= 2(19) - 8
= 30°
