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Oksi-84 [34.3K]
3 years ago
7

Please help!!

Mathematics
1 answer:
erastova [34]3 years ago
7 0

Answer:

  180, 180, 148, 180, 148

Step-by-step explanation:

The two rules in play here are ...

  • the sum of interior angles of a triangle is 180°
  • the angles of a linear pair are supplementary (they total 180°)

__

The first of these rules answers the first two questions:

  • interior angles total 180°
  • angles 1, 3, 4 total 180°

We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.

  • angles 3 and 4 total 148°

The second rule answers the next question:

  • angles 1 and 2 total 180°

As before, subtracting the value of angle 1 from both sides of the equation gives ...

  • angle 2 must be 148°

_____

<em>Additional comment</em>

Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...

  X + 32° = 180°

  X +32° -32° = 180° -32° . . . . . . subtraction property of equality

  X = 148° . . . . . . . . simplify

In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.

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