In polygon a ABCD , m angle a equals 49 degrees, m angle 8 equals 107 degrees, and m angle C equals 2m angle D. What is m angle
C?
2 answers:
Well, the shape is a quadrilateral since there are 4 sides. This means the sum of all the angles is 360<span>°. So:
49</span>° + 107° + 2D + D = 360<span>°
Now solve for D:
3D + 156</span>° = 360<span>°
3D = 204</span>°<span>
D = 68</span>°
Now C is 2 times that angle, so C will be:
C = 2(68°) = 136<span>°
To check if we are right:
49</span>° + 107° + 136° + 68° = 360°
It should be 24 because all degrees in angles add up to 180 so you add 49 & 107 get 156 subtract and boom!
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