Answer:
1. m<T =72 , m<U =54
2. EF= 18 in. , m<F=134'
3. x=4
Step-by-step explanation:
1. <s=<u , there is 180' in a triangle total so 180- <S - <U = <T
180 - 54 - 54 = 72
2. ef = gf
180 - 23 - 23 = 134
3. since bottom 2 angles are = , the 2 sides are also =
see attachment for work
<u>Given</u>:
The given figure shows the intersection of the two lines.
The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°
We need to determine the equation to solve for x and to find the value of x.
<u>Equation to solve for x:</u>
Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.
Hence, we have;
Thus, the equation to solve for x is
<u>Value of x:</u>
The value of x can be determined by solving the equation
Thus, we have;
Thus, the value of x is 20.