Question

Find m RS

Please please this is on my final !

Answer 1

Answer:

$\large{ \tt{☄ \: STEP- BY - STEP \: EXPLANATION}} :$

• Observing the figure , We can see chord RS & TU equal. We're provided the value of RS i.e ( 6x - 28 ) ° & TU i.e ( 4x + 20 )°. Now , Just set up an equation & solve for x !

$\large{ \bf{❃ \: (6x - 28) \degree = (4x + 20) \degree}}$

$\large{ \bf{↬6x - 28 \degree = 4x + 20 \degree}}$

$\large{ \bf{↬ \: 6x - 4x = 20 \degree + 28 \degree}}$

$\large{ \bf{↬2x = 48 \degree}}$

$\large{ \bf{↬x = \frac{48 \degree}{2}}}$

$\large{ \bf{↬ \boxed{ \bf{x = 24 \degree}}}}$

• Now , Replacing the value of x :

$\large{ \bf{⇢m \: RS = (6x - 28) \degree = (6 \times 24 - 28) \degree = \boxed{ \bf{116 \degree}}}}$

$\large{\boxed{ \boxed{ \tt{⟿ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bf{116 \degree}}}}}}}$

$\large{ \tt{✺ \: STUDY \: TIP}} :$

• Work consistently. Do your homework , read over your notes and revise for each test / quiz - no matter how insignificant !

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