What is the value of x?
90°
A 110
B
135
C 315
D
522
105°
145°
1150
130°
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Answer:
B
Step-by-step explanation:
The sum of the interior angles of a polygon is given by the formula s=180(n-2), where s is the sum and n is the number of sides.
In this case, the polygon has 6 sides, so s=180(6-2) or s=180×4, which equals 720.
To work out x, subtract all the other values from this amount, so x=720-90-105-130-145-115, or x=720-585. This equals 135°, so the answer is B.
**This content involves interior angles of irregular polygons, which you may wish to revise. I'm always happy to help!