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Harman [31]
2 years ago
12

The measures of two supplementary angles are (2x – 8)° and (3x - 2)°. What is the measure of the

Mathematics
1 answer:
saw5 [17]2 years ago
4 0

Answer:

68°

Step-by-step explanation:

Here,

  • Two supplementary angles are (2x – 8)° and (3x - 2)°.

As we know that the sum of two supplementary angles are 180°. So,

→ (2x – 8)° + (3x – 2)° = 180°

→ 2x° – 8° + 3x° – 2° = 180°

→ 5x° – 10° = 180°

→ 5x° = 180° + 10°

→ 5x° = 190°

→ x = 190° ÷ 5°

→ <u>x</u><u> </u><u>=</u><u> </u><u>3</u><u>8</u><u>°</u>

Supplementary angles are,

  • 1st angle = (2x – 8)°

→ 2(38°) – 8

→ (76 – 8)°

→ 68°

  • 2nd angle = (3x – 2)°

→ 3(38°) – 2

→ (114 – 2)°

→ 112°

Therefore, the measure of the smaller angle is 68°.

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1) 1     3     7     13    21     31     43  ( +2, +4, +6, +8, +10 и т.д.)

 

2) 255   127   63   31   15   7   3   (число -1, а затем полученное число :2)

 

3)92   46   44   22   20   10   8   4   (  :2, -2, :2, -2, :2, -2 и т.д.)                                   

 

4) 1   2   4   7   28   33    198 (+1, *2, +3, *4, +5, *6, +7, *8 и т.д)

5)3   7   6   7   9   7   12   7   15   7  (первое, третье, пятое и т.д. числа +3; между ними 7)

 

6) 6   8   11   13   16   18   21   23  (+2, +3, +2, +3 и т.д.)

 

7)1   4   8   13   19   26   34  43  (+3, +4, +5, +6, +7, +8 и т.д.)

 

8)128   64   32   16   8   4   2  (:2, :2, :2, :2 и т.д.)

9)3   4   8   17   33   58   94 (+1, +4, +9, +16, +25, +36 и т.д. (т.е. то, что прибавляется-увеличивается на                         +3, +5,  +7,  +9,   +11, и т.д.))

 

10)47   39   32   26   21   17   14   12  (-8, -7, -6, -5, -4, -3 и т.д.)

 

11)256   37   64   31   16   25   4   19  (первое, третье, пятое и т.д. числа :4; а второе, четвертое, шестое и т.д. числа -6)

 

12)5   9   13   17   21   25   29  (+4, +4, +4, +4, +4 и т.д.)

 

13)1   4   3   6   5   8   7   10  (+3, -1, +3, -1, +3, -1 и т.д.)

 

14)2   4   6   12   14   28   30   60   (*2, +2, *2, +2, *2, +2 и т.д.)

 

15)11   12   10   13   9   14   8   15  (+1, -2, +3, -4, +5, -6, +7, -8 и т.д.)

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