m<RSZ=26 and m<ZST = 130. Find m<RST
To find m<RST, we'll use the fact that the sum of angles in a triangle is 180 degrees.
Given that m<RSZ = 26 and m<ZST = 130, we can use the following equation:
m<RSZ + m<ZST + m<RST = 180
Substituting the given values, we have:
26 + 130 + m<RST = 180
Combine like terms:
156 + m<RST = 180
Now, isolate m<RST by subtracting 156 from both sides:
m<RST = 180 - 156
Simplifying:
m<RST = 24
Therefore, m<RST is 24 degrees.
To find the measure of angle RST, we can use the fact that the sum of angles in a triangle is 180 degrees.
Since we know the measures of angles RSZ and ZST, we can substitute these values into the equation:
m<RST + m<RSZ + m<ZST = 180
Now, we substitute the given values:
m<RST + 26 + 130 = 180
Combine like terms:
m<RST + 156 = 180
To isolate m<RST, we subtract 156 from both sides of the equation:
m<RST = 180 - 156
m<RST = 24
So, the measure of angle RST is 24 degrees.