how do you solve m<rst if m<rsp=(3x-2) and m<pst=(9x-26)?
Are these congruent angles? If so, 3x-2=9x-26. Are these supplementary angles? Then 3x-2+9x-26=180. If they are complementary angles then 3x-2+9x-26=90.
To solve for the measure of angle m<RST, we need to use the information that angle m<RSP is equal to (3x-2) and angle m<PST is equal to (9x-26).
Since the sum of the angle measures within a triangle is always 180 degrees, we can write an equation to solve for x:
m<RSP + m<PST + m<RST = 180
Substituting the given values, we have:
(3x-2) + (9x-26) + m<RST = 180
Now, combine like terms:
12x - 28 + m<RST = 180
Next, isolate the m<RST term by adding 28 to both sides:
12x + m<RST = 208
Finally, subtract 12x from both sides to solve for m<RST:
m<RST = 208 - 12x
So, the measure of angle m<RST is given by the expression 208 - 12x.