Question

Find the measure of angle QST

Answer 1

Answer:

∠QST = 115°

Step-by-step explanation:

Because all angles on a straight line must add to 180 and so should the total angles in a triangle:

∠UST + 23x = 180

And:

∠UST + 12x + 55 = 180

So knowing this, ∠U + ∠T must add up to 23x because 180 - ∠UST is the same for both above equations:

55 + 12x = 23x

Subtract 12x from both sides to isolate the 55 and 23x:

55 + 12x - 12x = 23x - 12x

55 = 11x

Divide both sides by 11:

$\frac{11x}{11} = \frac{55}{11}$

x = 5

As ∠QST = 23x, we can substitute in the known x:

23x =

23(5) =

23 * 5 = 115

So ∠QST = 115°

Hope this helps!

Answer 2

Answer:

qst 115

Step-by-step explanation:

sum of a triangle add up 180