Please help. What are the measures of ∠a, ∠b, ∠c and ∠d? Explain how to find each of the angle measure.
1 answer:
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Answer:
The values of x and y to the given equation are x=3 and y=-1
The solution to the given equation is (3,-1)
Step-by-step explanation:
Given equations are
To solve given equations by using elimination method :
Mutliply the equation (2) into 2 we get
Now adding the equations (1) and (3)
_______________
Therefore y=-1
Now substitute the value of y=-1 in the equation (1) we get
-2x+3(-1)=-9
-2x-3=-9
-2x=-9+3
Therefore x=3
The values of x and y to the given equation are x=3 and y=-1
The solution to the given equation is (3,-1)
The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer
Step-by-step explanation:
In a regular n-side polygon:
- All sides are equal in lengths
- All angles are equal in measure
- The measure of each interior angle =
- The measure of each exterior angle =
- The sum of interior angle and exterior angle at a vertex is 180°
∵ The measure of an interior angle of a regular polygon is 120°
∵ The sum of interior angle and exterior angle at a vertex = 180°
∴ The measure of each exterior angle = 180 - 120
∴ The measure of each exterior angle = 60°
∵ The measure of each exterior angle =
- Substitute the measure of the exterior angle by 60
∴
- By using cross multiplication
∴ 60 n = 360
- Divide both sides by 60
∴ n = 6
∴ The polygon has 6 sides
The measure of each exterior angle is 60° and the polygon has 6 sides
Learn more:
You can learn more about polygons in brainly.com/question/6281564
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