OmariaE134700 OmariaE134700
  • 03-11-2022
  • Mathematics
contestada

Given a right triangle, what is the measure of 2B if ZA = 35º and b = 7?(Round your answer to the nearest degree.)

Given a right triangle what is the measure of 2B if ZA 35º and b 7Round your answer to the nearest degree class=

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AlynaO179002 AlynaO179002
  • 03-11-2022

Let us make a drawing of the triangle:

Let's remember that the three angles of a triangle add up to 180 degrees. Then,

[tex]\measuredangle A+\measuredangle B+\measuredangle C=180\degree[/tex]

Since our triangle is right, we have

[tex]\measuredangle C=90\degree[/tex]

Thus

[tex]35\degree+\measuredangle B+90\degree=180\degree[/tex][tex]\measuredangle B=180\degree-90\degree-35\degree=55\degree[/tex]

This means that the answer is 55°.

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