The sum of the measure of the first angle and half the second angle is 88 degrees. The angles are complementary. How do you find the measures of the angles?

Answer 1

#86^@" and "4^@#

#• " complementary angles have a sum of "90^@#
#"let the angles be "x" and "y#
#rArrx+y=90to(1)" and"#
#x+1/2y=88to(2)#
#"subtract "(2)" from "(1)" term by term"#
#(x-x)+(y-1/2y)=(90-88)#
#rArr1/2y=2rArry=4#
#"substitute "y=4" into equation "(1)#
#x+4=90rArrx=90-4=86#
#"the measure of each angle is "86^@" and "4^@#
#color(blue)"As a check"#
#86+4=90^@" and "86+2=88^@#
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Answer 2

Let the first angle be ( x ) degrees and the second angle be ( y ) degrees.

Given that the sum of the measure of the first angle and half the second angle is 88 degrees, we have the equation: [ x + \frac{1}{2}y = 88 ]

Since the angles are complementary, we also have: [ x + y = 90 ]

Now, we can solve this system of equations to find the measures of the angles.

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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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