Find the measure of each angle.
Angle A is half as large as its complement angle B
Let a = Angle A
a + 2a = 90
3a = 90
a = 30
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Let's assume that angle A is x degrees.
Complementary angles add up to 90 degrees, so angle B is (90 - x) degrees.
According to the given information, angle A is half as large as its complement angle B. This can be expressed as:
x = (1/2)*(90 - x)
To solve this equation, we can multiply both sides by 2 to eliminate the fraction:
2x = 90 - x
Now, add x to both sides:
2x + x = 90
Combine like terms:
3x = 90
Divide both sides by 3:
x = 90/3
x = 30
Therefore, angle A is 30 degrees and angle B is (90 - 30) = 60 degrees.
To find the measure of each angle, we first need to understand what complementary angles are. Complementary angles are two angles that add up to 90 degrees.
Let's assume that angle A is x degrees. As per the given statement, angle A is half as large as its complement, which means that angle B is 2x degrees.
Now, we can set up an equation to find the value of x. Since angles A and B are complementary, their sum should be equal to 90 degrees.
So, we have:
x + 2x = 90
Combining like terms, we get:
3x = 90
To solve for x, we divide both sides of the equation by 3:
x = 90/3 = 30
Therefore, angle A is 30 degrees, and its complement angle B is 2x = 2(30) = 60 degrees.