Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make
2 answers:
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Answer:
x = 100°
Step-by-step explanation:
As the given shape is a regular polygon, the triangles created by extending the sides are <u>isosceles triangles</u>.
To calculate the base angles of the isosceles triangle, find the interior angle of the regular polygon:
Therefore:
As angles on a straight line sum to 180°, the <u>base angle</u> of the isosceles triangle is:
= 180° - interior angle
= 180° - 140°
= 40°
Interior angles of a triangle sum to 180°.
⇒ 2 base angles + x = 180°
⇒ 2 × 40° + x = 180°
⇒ 80° + x = 180°
⇒ x = 180° - 80°
⇒ x = 100°
Answer:
<h2>x = 20.8</h2><h2>y = 22.3</h2>Step-by-step explanation:
- Theta is 21 degrees
- x is the adjacent side
- 8 is the opposite side
- y is the hypothenuse
SOH - CAH - TOA
Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.
Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.