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three angles in a quadrilateral are 90,145 and 80.The measure of the fourth angle is?

a.25 b.45 c.115 d.205​

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» Three angles in a quadrilateral are 90,145 and 80. The measure of the fourth angle is?

[tex]\Large \blue{\bold{Answer:}} \: \: \LARGE \tt \green{B. \: 45 \sf°}[/tex]

» The total measure of an interior angle of a quadrilateral is 360°. By summing the given three measure of angles, we can identify the 4th one.

  • 90° + 145° + 80° + x = 360°
  • 235° + 80° + x = 360°
  • 315° + x = 360°
  • x = 360° - 315°
  • x = 45°

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Answer:

b. 45

Step-by-step explanation:

the sum of the interior angles of a quadrilateral is 360 degrees.

360 - (90+145+80) = 45

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