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I need help with these questions

I need help with these questions-example-1
User Ali Arslan
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1 Answer

5 votes

Answer:

28. m<A=20°, m<B=70°

32. m<A=103°, m<B=77°

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°

User Jsolis
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