427,021 views
34 votes
34 votes
If STUV is a rectangle, find the measure of angle SUT

If STUV is a rectangle, find the measure of angle SUT-example-1
User Mats N
by
2.8k points

2 Answers

22 votes
22 votes

Answer: s and t is 4 and -4 u is (7,-22) these are coordinates

Explanation:

User SimpleSi
by
2.7k points
6 votes
6 votes

The measure of angle SUT is 5 degrees.

In a rectangle, opposite angles are equal. Therefore, angle SUT and angle UST in rectangle STUV are equal. Let's denote the measure of angle SUT as A.

Given that UST = A and SUT = A, we can set up an equation:

3x - 22 = x - 4

Now, solve for x:

3x - x = 22 - 4

2x = 18

x = 9

Now that we have the value of x, substitute it back into the expression for angle SUT:

SUT = 3x - 22

SUT = 3(9) - 22

SUT = 27 - 22

SUT = 5

So, the measure of angle SUT is 5 degrees.

User Severin
by
3.1k points