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4 years ago

Look @ pic 15 14 17 16

Mathematics

2 answers:

babunello [35]4 years ago

7 0

Answer:

x=17 is the final answer.

Step-by-step 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)

$84=2(3x-9)$

$\frac{84}{2}=(3x-9)$

$42=3x-9$

$42+9=3x$

$51=3x$

$\frac{51}{3}=x$

$17=x$

Hence x=17 is the final answer.

hodyreva [135]4 years ago

5 0

Answer:

The value of x = 17

Step-by-step explanation:

From the figure we get,

SQ bisects <TSR means that

<TSQ = <RSQ = <TSR/2

<RSQ = 3x - 9

<TSR = 84°

<u>To find the value of x</u>

<RSQ = <TSR/2

3x - 9 = 84/2 = 42

3x = 42 + 9 = 51

x = 51/3 = 17

Therefore the value of x = 17

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