Answer:
A) a = 108°
B) b = 24°
Step-by-step explanation:
A) The formula used to calculate the interior angle of any polygon is;
θ = 180(n - 2)/n
where;
n is the number of sides that the regular polygon has
θ is the interior angle
This polygon with angle a has 5 sides.
Thus;
a = 180(5 - 2)/5
a = 108°
B) Looking at the image again, we have 2 equilateral triangles and 1 isosceles triangle.
So the point of the ap ex of the unshaded triangle, the angle at that point is 360°
All angles in an equilateral triangle is 60°. Thus, ap ex angle of isosceles triangle is;
360 - (108 + 60 + 60)
360 - 228 = 132°
Now, the other two angles of the unshaded isosceles triangle are equal.
Thus;
2b + 132 = 180 (sum of angles in a triangle)
2b = 180 - 132
2b = 48
b = 48/2
b = 24°
Multiply everything in the parenthesis by -4.
-12 + 8x + 2x = 2x - 8
Combine like terms.
-12 + 10x = 2x - 8
Subtract 10x from both sides.
-12 = -8x - 8
Add 8 to both sides.
-4 = -8x
Divide both sides by -8.
x = 0.5
Hope this helps!
Answer:
x = y
Step-by-step explanation:
x/3 + x/6 = 7/2
2x + x = 21
3x = 21
(divide 3 on both sides)
x = 7
Answer:
I would go with c.
Step-by-step explanation:
Hope this helped!
