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Can someone please help me solve this

Can someone please help me solve this-example-1

2 Answers

6 votes

Answer:

The answer for ∠CDF is 30°.

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°

User Shujito
by
7.6k points
1 vote

Answer:

30

Explanation:

Everything has to add up to 90.

Add EVERYTHING together.

3x + 33

3x + 33 = 90

90 - 33 = 57

57 / 3 = 19

19 = x

19 x 2 = 38

38 - 8 = 30

User Piotr Podraza
by
8.7k points

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