please help me and solve it with full explanation and solution
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ranjanalok961:
35° and 55°
Answers
Answered by
4
Answer:
This problem is actually a system of equations. Angle A and B being complementary gives us the following equation (A + B = 90). This goes along with the second equation the difference of Angle A and B is 20 degrees (A - B = 20)
A + B = 90
A - B = 20
Adding the two equations yields the following:
2A = 110
A = 55
Substituting back into the first equation:
55 + B = 90
B = 90 - 55
B = 35
The final step is substitute your answers for A & B into both equations to make sure they are both correct.
55 + 35 = 90
55 - 35 = 20
The smaller angle is 35 degrees
Step-by-step explanation:
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Answered by
21
Answer:
ok I will try
complementary angles are
A + B = 90
A = 90 - B
and given
A+ B = 20
90 - B + B = 20
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