kumaraad kumaraad
  • 13-12-2019
  • Mathematics
contestada

Given quadrilaterals ABCD ∼ EFGH, with m∠A=47°, m∠B=39°, and m∠C=112°. Find m∠F and m∠H.

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sqdancefan
sqdancefan sqdancefan
  • 16-12-2019

Answer:

  • m∠F = 39°
  • m∠H = 162°

Step-by-step explanation:

The two figures are similar, so corresponding angles are congruent. That means angles B and F have the same measure, and angles D and H have the same measure.

We can find the measure of angle D since we know the sum of angles in a quadrilateral is 360°:

  47° +39° +112° +∠D = 360°

  ∠D = 360° - 198° = 162°

The requested angle measures are ...

 m∠F = 39°

  m∠H = 162°

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