Use the diagram to find the measure of each angle. Enter the number only.

9514 1404 393

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

Step-by-step explanation:

Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.

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Working from the top and from the given angles, ...

  h = 60°

  f = g = 180° -h = 120°

  j = 124°

  k = i = 180° -124° = 56°

  a = 64°

  b = d = 90°

  c = e = 90° -64° = 26°

In summary, measures in degrees are ...

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

answer: x=60