Two angles are complementary. One of the angles is twice the other.

2 answers:

8 0

There are TWO angles, if one angles is x then the other angle is 2x, lets set up an equation. The equation is going to be x+2x=90. Now we solve, x=1x, so 1x+2x=3x. 3x=90. Divide both sides by 3, 3x/3=90/3, 90/3=30, x=30. Add 30 by 30, 30+30=60. So, the answer is b) 60°

sergiy2304 [10]3 years ago

5 0

Two complementary angles must add to 90 degrees, and if you divide 90 into thirds (two parts for the larger angle, one for the smaller), then you get 30 degrees.

If the smaller angle is 30 degrees, then the larger is two times that, which is 60. 60 + 30 = 90, so the larger angle is equal to 60 degrees.

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In ΔEFG, the measure of ∠G=90°, EF = 38 feet, and FG = 30 feet. Find the measure of ∠F to the nearest degree.

Mamont248 [21]

Answer:

∠F = 42° to the nearest degree

Step-by-step explanation:

In this question, we are asked to calculate the value of the angle.

Kindly note that since one of the angles we are dealing with in the triangle is 90°, this means that the triangle is a right-angled triangle

Please check attachment for the diagrammatic representation of the triangle

From the diagram, we can identify that the EF is the hypotenuse and the length FG is the adjacent. Thus , the appropriate trigonometric identity to use is the cosine

mathematically;

Cosine of an angle = length of adjacent/length of hypotenuse

$Cos F = \frac{30}{38}\\Cos F = 0.7895\\F = Cos^{-1} 0.7895\\$