Answer:
6 sides
Step-by-step explanation:
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?
Let us represent:
Sum of Exterior angle as x
Sum of Interior angle as y
Note that:
The sum of the exterior angles of a polygon = 180 - The sum of the interior angles
Hence,
The sum of the exterior angles of a polygon + The sum of the interior angles = 180
x + y = 180
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles.
2x = y
Substituting
x + 2x = 180°
3x = 180°
x = 180/3
x = 60°
Solving for y
2x = y
2 × 60° = y
120° = y
Hence,
Sum of Exterior angle as x = 60°
Sum of Interior angle as y = 120°
The number of sides of a polygon is
360°÷ Sum of Exterior angles
= 360° ÷ 60
= 6 sides
Answer:
one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)
other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)
Step-by-step explanation:
ratio of the angles 6:5
when you draw diagonal inside a rhombus it creates four right angled triangle
one angle=90
6x+5x=90 ( the other angles is complimentary)
11x=90
x=90/11
one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)
other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)
Answer:
I would say angle 6 is supplementary to angle 3.
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees.
Angles 6 and 3 are right angles.
90 + 90 = 180
Hope I helped!
(-2,3)(4,-1)
slope = (3 + 1)/(-2 - 4) = 4/-6 = -2/3
equation
y + 1 = -2/3(x - 4)
