Math Problem Statement
Find the value of x given the angles of a quadrilateral: (9x - 8)°, (x + 10)°, (x + 2)°, and one unknown angle.
Solution
The image shows a quadrilateral with four angles labeled in terms of :
- Top-left angle:
- Top-right angle:
- Bottom-right angle:
- Bottom-left angle: (unlabeled, but implied to complete the set of four angles in the quadrilateral).
Since the sum of the interior angles of any quadrilateral is , we can set up the equation for the sum of the four angles and solve for .
Step 1: Set up the equation
Let’s add all the given angles:
Where is the missing angle (which we can find by solving for ).
Would you like to proceed with solving this equation?
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Math Problem Analysis
Mathematical Concepts
Geometry
Quadrilateral
Angles
Formulas
Sum of interior angles of a quadrilateral = 360°
Theorems
Angle sum property of quadrilaterals
Suitable Grade Level
Grades 8-10