What are the values of x & y?
1 answer:
Answer:
X= 60°
Y= 30°
Step-by-step explanation:
In triangle ABD, we have:
AB = BD = AD
Then triangle ABD is <u>equilateral</u><u> </u><u>triangle</u><u>.</u>
Then, all its angles are equal to 60°.
=> <u>X = 60°</u>
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ADC is right triangle at D.
So, X and Y are congruent angles (their sum is equal to 90°)
So, X + Y =90°
60° + Y = 90°
Y = 90 - 60
<u>Y= 30°</u>
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Answer:
The central angle of the sector is 0.5 radian
Step-by-step explanation:
given;
radius of the circle, r = 80 mi
area of the sector, A = 1600 mi²
Area of sector is given by;
A = ¹/₂r²θ
where;
θ is the central angle (in radians) of the sector
Therefore, the central angle of the sector is 0.5 radian