Find the value of x. m<2= x + 52

x = - 10

Step-by-step explanation:

a) Linear Pair: 138 + ∠a = 180°     --> ∠a = 42°

b) Triangle Sum Theorem: ∠a + 2∠b = 180°   --> ∠b = 69°

c) Vertical Angles Theorem: ∠b = ∠c     --> ∠c = 69°

d) Congruent sides implies congruent angles: ∠c = ∠d   --> ∠d = 69°

∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°

                                            69° + 69° + ∠2 = 180°

                                                               ∠2 = 42

x) m∠2 = 42

  x + 52 = 42

  x          = -10

d. vertex

step-by-step explanation: