Question

Find the angles help

Answer 1

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)\°`

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)\°`