Question

Look @ pic
15


14


17


16

Answer 1

The value of x = 17

Explanation:

From the figure we get,

SQ bisects <TSR means that

<TSQ = <RSQ = <TSR/2

<RSQ = 3x - 9

<TSR = 84°

To find the value of x

<RSQ = <TSR/2

3x - 9 = 84/2 = 42

3x = 42 + 9 = 51

x = 51/3 = 17

Therefore the value of x = 17

Answer 2

x=17 is the final answer.

Explanation:

Given that m ∠TSR = 84

SQ is angle bisector of ∠TSR

m ∠RSQ = 3x-9

Now using those information, we need to find the value of x.

Since SQ is angle bisector of ∠TSR, then we can write:

∠TSR =2 (∠RSQ)

`84=2(3x-9)`

`(84)/(2)=(3x-9)`

`42=3x-9`

`42+9=3x`

`51=3x`

`(51)/(3)=x`

`17=x`

Hence x=17 is the final answer.