Question

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Answer 1

Answer:

28. m<A=20°, m<B=70°

32. m<A=103°, m<B=77°

Step-by-step explanation:

complementary angle=a+b=90°

supplementary angle=a+b=180°

28. A+B=90°

      5x+17x+2=90°

      22x+2=90°

      22x=90-2

      22x=88

        22x/22=88/22

      x=88/22=4

m<A=5x=5*4=20°

m<B=17x+2=17*4+2=68+2=70°

         Check

A+B=90°

20+70=90°

90°=90°

32. A+B=180°

     x+11+x-15=180°

     2x-4=180°

     2x=180+4

     2x=184

     2x/2=184/2

     x=184/2

     x=92

m<A=x+11=92+11=103°

m<B=x-15=92-15=77°

     Check

A+B=180°

103+77=180°

180°=180°