Final answer:
To find the value of x° in a quadrilateral with given angles of 106°, 95°, and 44°, we use the equation 106° + 95° + 44° + x° = 360° and solve for x°, which results in x° being 115°.
Step-by-step explanation:
The sum of the angle measures of a quadrilateral isbIf three angles of the quadrilateral are given as 106°, 95°, and 44°, we need to find the fourth angle, represented as x°. To find this, we can set up the equation 106° + 95° + 44° + x° = 360°. Combining the known angles gives us a total of 245°. Subtracting this from the total of 360° gives us x°.
So, we have 245° + x° = 360°. Subtracting 245° from both sides of the equation, we get x° = 360° - 245°, which simplifies to x° = 115°. Therefore, the measure of the fourth angle is 115°.