The sum of the angle measures of a quadrilateral is 360 degree . Write and solve an equation to find the value of x .

A quadrilateral with interior angles marked as x degrees, 150 degrees, 77 degrees, and 48 degrees.

The equation is
360= .

x=

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Answer:

Step-by-step explanation:

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The value of the angle x is 85°

The sum of angles of a quadrilateral = 360°

This means that given a quadrilateral with angles, A, B, C, D ;

(A + B + C + D) = 360°

Given the angles of a quadrilateral : (x°, 150°, 77°, 48°)

The value of x will be obtained thus :

(x + 150 + 77 + 48) = 360

150 + 77 + 48 + x = 360

275 + x = 360

x = 360 - 275

x = 85°

Hence, the value of x is 85°

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