PLEASE HELP I ADDRD EXTRA POINTS AND STRUGGLING AND THIS IS MY LAST QUESTION

9514 1404 393

Step-by-step explanation:

(a) When it comes to angles and line segments, the whole is the sum of the parts. The little square in the corner means that is a right angle, so has a measure of 90°. The equation reflects the fact that the sum of angle 1 and angle 2 is 90°.

  ∠1 + ∠2 = 90°

  (5x)° +(x +12)° = 90°

Typically, we write this without the degree symbol, as all of the parts of the sum have units of degrees.

  (5x) +(x +12) = 90 . . . . . an equation to find x

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(b) We can solve this equation by subtracting 12 from both sides and collecting terms:

  6x = 78

Then dividing by 6 gives the value of x

  x = 78/6 = 13

We can use this value to find the measures of the angles.

  ∠1 = (5x)° = 5(13)° = 65°

  ∠2 = (x +12)° = (13 +12)° = 25°

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As a check, we can see that these have a sum of 90°.

  65° +25° = 90° . . . . as expected

the answer is 0.071

good luck! : d

good job you smart son of a gun you are smarter that einstein. 7