QuestionIn triangle, , , . Find each angle.
Studdy Solution
STEP 1
Assumptions1. The measure of angle is
. The measure of angle is
3. The measure of angle U is
4. The sum of the measures of the angles in a triangle is
STEP 2
We can write an equation using the fact that the sum of the measures of the angles in a triangle is .
STEP 3
Substitute the given expressions for the measures of the angles into the equation.
STEP 4
implify the left side of the equation by combining like terms.
STEP 5
Add7 to both sides of the equation to isolate the term with x on the left side.
STEP 6
Divide both sides of the equation by11 to solve for x.
STEP 7
Calculate the value of x.
STEP 8
Now that we have the value of x, we can substitute it into the expressions for the measures of the angles to find their degree measures.
For angle
STEP 9
Calculate the degree measure of angle.
STEP 10
Substitute the value of x into the expression for the measure of angle.
STEP 11
Calculate the degree measure of angle.
STEP 12
Substitute the value of x into the expression for the measure of angle U.
So, the degree measure of angle U is .
The degree measures of the angles in the triangle are , , and .
Was this helpful?