If the map distance is 20 cm and the scale is 4 cm = 60 km, what is the actual distance?
1 answer:
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Question 1. If m∠5 = 115 degrees, find m∠1 = 115°
because they form corresponding Angle pair
Question 2. If m∠7 = 30 degrees, find m∠2 = 30°
because they form Alternate Exterior angle pair
Question 3. If m∠6 = 50 degrees, find m∠4 = 50°
because they form Alternate Interior Angle pair
Question 4. If m∠4 = 72 degrees, find m∠1 = 108°
because they form linear pair, their sum = 180°
- Angle 4 + Angle 1 =180°
- Angle 1 = 180° - Angle 4
- Angle 1 = 180° - 72°
- Angle 1 = 108°
The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.
<h3>What is the sum of all the angles of a regular polygon?</h3>
For a regular polygon of any number of sides, the sum of its exterior angle is 360°.
We already know that a 4-sided polygon's angles add up to 360 degrees.
So to find the value of x:
69 + 118 + 84 + x = 360
x = 360 - (69 + 118 + 84)
x = 89 degrees
b)
For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.
So to find the value of p:
100 + 62 + 106 + p = 360
p = 360 - (100 + 62 + 106)
p = 92 degrees
Learn more about interior angles of a regular polygon here:
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