The angles of a quadrilateral are (3x - 5), (2x + 15), (4x - 20) and (x + 40) degrees. Set up the angle-sum equation and solve for x, then state the largest of the four angles.

Question

Accepted Answer

112°. Sum: (3x-5)+(2x+15)+(4x-20)+(x+40) = 10x + 30 = 360, so 10x = 330, x = 33. Angles: 94, 81, 112, 73. Largest = 4x - 20 = 112°.

The angles of a quadrilateral are $(3 x - 5), (2 x + 15), (4 x - 20)$ and $(x + 40)$ degrees.
Set up the angle-sum equation and solve for $x$ , then state the largest of the four angles.

Step-by-Step Solution

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More Class 9 Angle Sum Property of Quadrilaterals practice

The angles of a quadrilateral are (3x−5),(2x+15),(4x−20) and (x+40) degrees.Set up the angle-sum equation and solve for x, then state the largest of the four angles.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum Property of Quadrilaterals practice

The angles of a quadrilateral are $(3 x - 5), (2 x + 15), (4 x - 20)$ and $(x + 40)$ degrees.
Set up the angle-sum equation and solve for $x$ , then state the largest of the four angles.