Question

Pls need help been struggling hard

Answer 1

Problem 10

Answers:

• x = 11
• angle UTS = 65
• angle AUT = 123

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Step-by-step explanation:

The remote interior angles UTS and TSU add to the exterior angle AUT. This is because of the remote interior angle theorem. The interior angles you add cannot be adjacent to the exterior angle.

(angle UTS) + (angle TSU) = angle AUT

(5x+10) + (58) = 11x+2

5x+10+58 = 11x+2

5x+68 = 11x+2

68-2 = 11x-5x

66 = 6x

6x = 66

x = 66/6

x = 11

Use this x value to find that...

angle UTS = 5x+10 = 5*11+10 = 65

angle AUT = 11x+2 = 11*11+2 = 123

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Problem 11

Answers:

• x = 4
• angle CDB = 31
• angle WBC = 77

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Step-by-step explanation:

We'll use the same theorem as before

(angle BCD) + (angle CDB) = angle WBC

(46) + (-1+8x) = 18x+5

46-1+8x = 18x+5

8x+45 = 18x+5

45-5 = 18x-8

40 = 10x

10x = 40

x = 40/10

x = 4

angle CDB = -1+8x = -1+8*4 = 31

angle WBC = 18x+5 = 18*4+5 = 77

Answer 2

10. X = 2.75

11. X = 1.61

Hey there, I have the steps listed below but what is the problem asking, I cannot solve it unless it explains the problem. Thank you!

Step-by-step explanation:

10. 5x + 10 + 11x + 2 = 56

16x + 12 = 56

16/16x = 44/16

X = 2.75

11. -1 + 8x + 18x + 5 = 46

26x + 4 = 46

26/26x = 42/26

X = 1.61

~I hope I helped you! :)~