if measure of angle SUT=3x+6 and measure of angle RUS=5x-4, find measure of angle SUT
d diagram here is very important
4rm my assummed diagram i drew, SUT is part of RUS ie u can get angle sut 4rm angle rus
==>5x-4-(3x+6)
5x-4-3x-6
2x-10
to form an equation equate to zero
2x-10=0
2x=10
x=5
Do they add up to a right angle? A straight line?
7×-5=3×+11
To find the measure of angle SUT, we need to set up an equation by equating it to the measure of angle RUS.
We are given:
Measure of angle SUT = 3x + 6
Measure of angle RUS = 5x - 4
Since angle SUT and angle RUS are the same, we can set up the equation:
3x + 6 = 5x - 4
To solve this equation, we will isolate the variable x on one side. Let's subtract 3x from both sides:
6 = 2x - 4
Next, let's add 4 to both sides to get rid of the -4:
10 = 2x
Now, divide both sides by 2 to solve for x:
10/2 = x
5 = x
So, x = 5.
To find the measure of angle SUT, substitute the value of x back into the equation for angle SUT:
Measure of angle SUT = 3x + 6
Measure of angle SUT = 3(5) + 6
Measure of angle SUT = 15 + 6
Measure of angle SUT = 21
Therefore, the measure of angle SUT is 21 degrees.