Question

DEAR GOD PLEASE HELP

Answer 1

Answer:

x = 34

∠S = 38

∠T = 111

Step-by-step explanation:

Angles in a triangle add up to equal 180

If ΔRST is a triangle and ∠R, ∠S and ∠T are angles in that triangle

Then ∠R + ∠S + ∠T = 180

That being said we want to create an equation to solve for x

If angles in a triangle have a SUM of 180

Then, 31 + x + 4 + 3x + 9 = 180

We now solve for x

Step 1 combine like terms

31 + 4 + 9 = 44

x + 3x = 4x

we now have 44 + 4x = 180

step 2 subtract 44 from each side

44 - 44 cancels out

180 - 44 = 136

We now have 136 = 4x

Step 3 divide each side by 4

4x / 4 = x

136 / 4 = 34

We're left with x = 34

Now we want to find the measures of ∠S and ∠T

To do so, we substitute 34 for x in their given expression

∠S = x + 4

* substitute 34 for x  *

∠S = 34 + 4

34 + 4 = 38

Thus ∠S = 38°

∠T = 3x + 9

* substitute 34 for x *

∠T = 3 ( 34 ) + 9

34 * 9 - 102

102 + 9 = 111

Thus, ∠T = 111°