Question

Find the angles help

Answer 1

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

$(3(185/12)-20)=(315/12)\°$

$(5(185/12)+5)=(985/12)\°$

$(4(185/12)+10)=(860/12)\°$