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Quantitative - Mathematics - Solid Geometry:

Quadrilatorals

MCQ - 107-11959

Question:

Three of the interior angles of a quadrilateral measure 51°, 120°, and 77°. What is the measure of the fourth interior angle?

  1. 122°
  2. 102°
  3. 112°
  4. 102°
  5. This quadrilateral cannot exist.

Correct Answer: C

Explanation:

The measures of the angles of a quadrilateral have sum 360∘. If x is the measure of the unknown angle, then:

x + 51 + 120 + 77 = 360

x + 248 = 360

x + 248 − 248 = 360 − 248

x = 112

The angle measures 112°.

Record Performance

131 MCQ for effective preparation of the test of Quadrilatorals of Solid Geometry section.

Read the MCQ statement: Three of the interior angles of a quadrilateral measure 51°, 120°, and 77°. What is the measure of the fourth interior angle?, keenly and apply the method you have learn through the video lessons for Quadrilatorals to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 107-11959.

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