Question

NEED HELP ASAP

Answer 1

ANSWER: A. 46

 

 

SOLUTION

 

Given that Q is equidistant from the sides of TSR

m∠TSQ = m ∠QSR

 

To solve for x

m∠TSQ = 3x + 2

m ∠QSR = 8x – 33

 

Since m∠TSQ = m ∠QSR

3x + 2 = 8x – 33

 

Add 33 to both sides

3x + 2 + 33 = 8x – 33 + 33

3x + 35 = 8x

8x = 3x + 35

 

Subtract 3x from both sides

8x – 3x = 3x – 3x + 35

5x = 35

 

Divide both sides by 5

x = 7

 

Since m∠TSQ = 3x + 2, and x = 7

m∠TSQ = (3*7) + 2

m∠TSQ = 21 + 2

m∠TSQ = 23

 

To solve for RST

Given that Q is equidistant from the sides of RST

m∠RST = m∠TSQ + m ∠QSR

Since m∠TSQ = m ∠QSR

m∠RST = 2m∠TSQ = 2m ∠QSR

 

Ginen, m∠RST = 2m∠TSQ

m∠TSQ = 23

m∠RST = 2(23)

m∠RST = 46