(x + 16)° 11. In the adjoining figure, ABCD is a quadrilateral. The smallest angle of quadrilateral ABCD measures
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Answer:
50°
Step-by-step explanation:
We know that sum of all angles of quadrilateral is 360°
Applying above rule
=> (x + 16)° + (2x - 6)° + (3x + 15)° + (4x - 5) = 360°
=> 10x + 20 = 360
=> 10x = 340
=> x = 34°
Putting in each angle that x = 34°
= (34 + 16)° = 50°
= (68 - 6)° = 62°
= (102 + 15)° = 117°
= (136 - 5)° = 131°
Therefore smallest angle = 50°
I.e (x + 16)°
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