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svp [43]
3 years ago
5

Find the angles help

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

Part 1) The measures of the angles are

(260/15)\°

(606/15)\°

(484/15)\°

Part 2) The measure of the angles are

(315/12)\°

(985/12)\°

(860/12)\°

Step-by-step explanation:

Part 1) we know that

(5x-8)+(6x+10)+(4x+12)=90\°

solve for x

15x+14=90\°  

15x=90\°-14\°

x=(76/15)\°

The measure of the angles are

(5(76/15)-8)=(260/15)\°

(6(76/15)+10)=(606/15)\°

(4(76/15)+12)=(484/15)\°

Part 2) we know that

(3x-20)+(5x+5)+(4x+10)=180\°

solve for x

12x-5=180\°  

12x=180\°+5\°

x=(185/12)\°

The measure of the angles are

(3(185/12)-20)=(315/12)\°

(5(185/12)+5)=(985/12)\°

(4(185/12)+10)=(860/12)\°

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