Can someone please help me :)
1 answer:
Answer:
<em>90 degree</em>
Step-by-step explanation:
Three points A, B, and C are added and shown in attached picture.
As the property of inscribed angle in circle:
angle BAC = (1/2) x 88 = 44 deg
As the property of complement angle:
angle ABC = 180 - 89 = 91 deg
As the property of sum of three angles in a triangle:
angle ACB + angle ABC + angle BAC = 180 deg
=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg
One more time, we use the property of inscribed angle in circle:
x = 2 x angle ACB = 2 x 45 = 90 deg
Hope this helps!
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The length of EF in the given triangle is 8.80 m.
Step-by-step explanation:
Step 1:
In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.
The angle given is 90°, this makes the triangle a right-angled triangle.
So first we calculate the angle of E and use that to find x.
Step 2:
As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.
So the angle E of the triangle DEF is 57.087°.
Step 3:
As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.
Rounding this off to the nearest hundredth, we get x = 8.80 m.