The following are angles in a convex quadrilateral:
Angle A = 75.3 degrees
Angle B = 114.8 degree
Angle C = 65.9 degrees
What is the measure of the missing angle?
Add the three angles together and subtract from 360.
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To find the measure of the missing angle, we can use the fact that the sum of the angles in a convex quadrilateral is always equal to 360 degrees.
Given that:
Angle A = 75.3 degrees
Angle B = 114.8 degrees
Angle C = 65.9 degrees
We can calculate the missing angle as follows:
Sum of all angles = Angle A + Angle B + Angle C + Missing Angle
360 degrees = 75.3 degrees + 114.8 degrees + 65.9 degrees + Missing Angle
Now, let's solve for the missing angle:
Missing Angle = 360 degrees - (75.3 degrees + 114.8 degrees + 65.9 degrees)
Missing Angle = 360 degrees - 255.9 degrees
Missing Angle = 104.1 degrees
The measure of the missing angle is 104.1 degrees.
To find the measure of the missing angle in a convex quadrilateral, you can use the fact that the sum of all the angles in a convex quadrilateral is always equal to 360 degrees.
Here's how you can calculate the missing angle:
1. Add up the measures of the given angles to find the combined measure:
Angle A + Angle B + Angle C = 75.3 degrees + 114.8 degrees + 65.9 degrees
2. Calculate the sum:
75.3 degrees + 114.8 degrees + 65.9 degrees = 256 degrees
3. Subtract the sum from 360 degrees to find the missing angle:
360 degrees - 256 degrees = 104 degrees
Therefore, the missing angle in the convex quadrilateral measures 104 degrees.