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Hi Everyone! I need LOTS of help with my math homework. I have 2 questions, and if you could tell me which ones you are answering then that would be great! Thank You So Much!!!

Hi Everyone! I need LOTS of help with my math homework. I have 2 questions, and if-example-1
Hi Everyone! I need LOTS of help with my math homework. I have 2 questions, and if-example-1
Hi Everyone! I need LOTS of help with my math homework. I have 2 questions, and if-example-2

1 Answer

8 votes

Answer:

4. 143°

5. x=32°, exterior angle=134°

Explanation:

The relation of interest in these two questions is ...

an exterior angle of a triangle is equal to the sum of the remote interior angles.

__

4.

The exterior angle is u°. The opposite (remote) interior angles are a right angle (90°) and one marked 53°. The above relation tells you ...

u° = 90° +53°

∠u = 143°

__

5.

In this figure, the external angle is marked (4x+6)°, and the opposite internal angles are x° and 102°. Our relation between these tells us ...

(4x +6)° = x° +102°

3x = 96 . . . . . . . . . . . . divide by °, subtract x+6

x = 32 . . . . . . . . . . divide by 3

∠x = 32°

(4x+6)° = (4(32) +6)° = 134°

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