m< =2x+6;m<2=3x +8;m<YXW =82; Find x and m<2.
To find the values of x and m<2, we can start by extracting the relevant equations from the given information:
1. m< = 2x + 6
2. m<2 = 3x + 8
3. m<YXW = 82 (This seems to be an unrelated angle measurement and does not directly help in finding x or m<2)
We have two equations involving x, so we can use algebraic methods to solve for x:
1. m< = 2x + 6
2. m<2 = 3x + 8
To eliminate variables, we can solve one equation for x in terms of m< and substitute that expression into the other equation:
1. m< = 2x + 6 ⟶ m< - 6 = 2x ⟶ x = (m< - 6)/2
2. m<2 = 3((m< - 6)/2) + 8 ⟶ m<2 = (3/2)(m< - 6) + 8
Simplifying the equation for m<2:
m<2 = (3/2)(m< - 6) + 8
m<2 = (3/2)m< - 9 + 8
m<2 = (3/2)m< - 1
So now we have an expression for m<2 in terms of m<. However, we can't find the exact values of x and m<2 without knowing the measure of angle <YXW (m<YXW).