Respuesta :

apologiabiology
they add to 90 so

15x-43+8x+18=90
add like terms
23x-25=90
add 25 to both sides
23x=115
divide both sides by 23
x=5

QST=8x+18=8(5)+18=40+18=58

the other one is just 90-58 or 32

RSQ=32 degrees
QST=58 degrees

This is about getting accurate measurement of angles.

∠RSQ = 32°

∠TSQ = 58°

  • We can see from the image that;

∠RSQ = (15x - 43)

∠TSQ = (8x + 18)

We see that;

∠RST is a right angle triangle. Thus, ∠RST = 90°

  • We can see that;

∠RSQ + ∠TSQ = ∠RST

  • Thus;

(15x - 43) + (8x + 18) = 90

Expanding the bracket gives;

23x - 25 = 90

Add 25 to both sides to get;

23x = 90 + 25

23x = 115

x = 115/23

x = 5

  • Thus;

∠RSQ = 15(5) - 43

∠RSQ = 75 - 43

∠RSQ = 32°

∠TSQ =  8(5) + 18

∠TSQ = 58°

Read more at; brainly.com/question/18278997