Your teacher will grade your responses to questions 4–8 to ensure you receive proper credit for your answers.
Find the value of x. The diagram is not to scale.
Given: angle upper S upper R upper T congruent to angle upper S upper T upper R, mangleSRT = 20, mangleSTU = 4x
There is not enough information given to find the value of x.
Your teacher will grade your responses to questions 4–8 to ensure you receive proper credit for your answers.
Find the value of x. The diagram is not to scale.
given: <set =str, m<srt=20, m<stu=4x
To find the value of x, we can use the fact that the sum of angles in a triangle is 180 degrees.
In the given diagram, angle SRT is 20 degrees and angle STU is 4x degrees.
We can set up an equation:
20 + 4x + angle TUS = 180
To find the measure of angle TUS, we need to use the fact that angles SRT and SUT are congruent (they are alternate interior angles).
So, angle TUS is also 20 degrees.
Substituting this into our equation, we get:
20 + 4x + 20 = 180
Combine like terms:
4x + 40 = 180
Subtract 40 from both sides:
4x = 140
Divide by 4:
x = 35
Therefore, the value of x is 35.
To find the value of x, we need to use the information given and apply the properties of angles within a triangle.
From the given information, we know that angle SRT is congruent to angle STR. This means that the measure of angle SRT is equal to the measure of angle STR, which is 20 degrees.
We also know that mangle STU is equal to 4x.
In a triangle, the sum of the angles is always 180 degrees. Therefore, we can write the equation:
mangle SRT + mangle STR + mangle STU = 180
Substituting the known values:
20 + 20 + 4x = 180
Combining like terms:
40 + 4x = 180
To isolate the variable, we will subtract 40 from both sides:
4x = 180 - 40
4x = 140
Now, we can solve for x by dividing both sides by 4:
x = 140 / 4
x = 35
Therefore, the value of x is 35.