Question

Help geometry bisecting angles

Answer 1

Since the angles are bisecting < RSU = < UST

substitution----- 4x+16=9x-9

subtract 4x from both sides----- 16=5x-9

add 9 to both sides-----25=5x

divide by 5 on both sides------ 5=x

The value of x is 5

substitute the value of x in both expressions

1st expression: 4x+16

substitute the value of x------ 4(5)+16= 20+16=36

2nd expression: 9x-9

substitute the value of x-----9(5)-9=45-9=36

< RST= <RSU+<UST

<RSU=36 degrees

<UST= 36 degrees

------------------------------------you have calculated both above-------------------------------------------

m<RST= 36 + 36=72 degrees