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djverab [1.8K]
3 years ago
12

Find the value of xm<2= 10x + 10​

Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0

Answer:  x = 12

<u>Step-by-step explanation:</u>

a) Linear Pair: 110° + ∠a = 180°  -->    ∠a = 70°

b) congruent sides implies congruent angles  --> ∠b = 70°

c) Triangle Sum Theorem: ∠a + ∠b + ∠c = 180

                                         70° + 70° + ∠c = 180°

                                                            ∠c = 40°

d) Complimentary Angles: ∠c + ∠d = 90°

                                          40° + ∠d = 90°

                                                   ∠d = 50°

∠2) Linear Pair: ∠d + ∠2 = 180°

                         50° + ∠2 = 180°

                                  ∠2 = 130°

x) m∠2 = 130°

   10x + 10 = 130°

   10x        = 120

       x        = 12

 

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