Question

Solve for x please and thank you

Answer 1

Answer:X=3

Step-by-step explanation:

Answer 2

Answer:

x=3

Step-by-step explanation:

Hi there!

We are given ΔRTS, m<T=25x, m<S=57+x (both inside triangle RTS), and m<TRQ (outside of ΔRTS)=45x

We want to solve for x.

We can use the exterior angle theorem, which states that a measure of an exterior angle (an angle outside of a triangle) is equal to the sum of two remote interior angles (adding the values of two different angles that are inside the triangle gives us the value of the angle outside of a triangle).

Based on the theorem, this is true:

m<T+ m<S= m<RTQ

We can plug in values we know into the equation to get:

25x+57+x=45x

Now combine like terms

26x+57=45x

Subtract 26 from both sides

57=19x

Divide both sides by 19

3=x

Hope this helps!