The measures of two angles have a sum of 90degrees. The measures of the angles are in a ratio of 2:1, how do you determine the measures of both angles?

Answer 1

The smaller angle is 30 degrees and the second angle being twice as large is 60 degrees.

Let's call the smaller angle #a#.
Because the ratio of the angles is #2:1# the second, or larger angle is:
#2*a#.

We can write the following since we know the sum of these two angles is 90:

#a + 2a = 90#
#(1 + 2)a = 90#
#3a = 90#
#(3a)/3 = 90/3#
#a = 30#
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Answer 2

Let x represent the measure of the larger angle and y represent the measure of the smaller angle. Since the angles have a sum of 90 degrees and are in a ratio of 2:1, we can set up the equation: 2x + y = 90. Since the ratio is 2:1, we can write y = (1/2)x. Substitute y with (1/2)x in the equation 2x + y = 90. Solve for x: 2x + (1/2)x = 90. Simplify the equation: (5/2)x = 90. Solve for x: x = (90 * 2) / 5. x = 36. Then, find the value of y using y = (1/2)x. y = (1/2) * 36 = 18. Therefore, the larger angle measures 36 degrees and the smaller angle measures 18 degrees.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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