The sum of the measures of angles x and y is 127 degree. If the measure of #anglex# is 34 more than half the measure of #angle y#, what is the measure of each angle?

Answer 1

#x=65^@,y=62^@#

#"we can write the following equations from the statements"#
#x+y=127to(1)#
#x=1/2y+34to(2)#
#"substitute " (2)" into " (1)#
#rArr1/2y+34+y=127#
#rArr3/2y+34=127#
#"subtract 34 from both sides"#
#3/2ycancel(+34)cancel(-34)=127-34#
#rArr3/2y=93#
#rArry=93/(3/2)=93xx2/3=62#
#"substitute this value into " (1)" and solve for x"#
#x+62=127rArrx=65#
#rArrx=65^@" and " y=62^@#
#color(blue)"As a check " 62+65=127#
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Answer 2

#x=65,y=62#

Let the measure of angle x be #x# and angle y be #y#.
We are given two pieces of information: #x+y=127# .........(1) #x=y/2+34# .........(2)
Substituting (2) into (1) gives #y/2+34+y=127# #y=62#
Substituting #y=62# into (1) gives #x+62=127# #x=65#
Therefore #x=65,y=62#
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Answer 3

Let's denote:

  • Angle x as x
  • Angle y as y

Given:

  1. The sum of angles x and y is 127 degrees: x + y = 127
  2. The measure of angle x is 34 more than half the measure of angle y: x = (1/2)y + 34

Now, we can solve this system of equations for the values of x and y.

From equation 2, we can express y in terms of x: y = 2(x - 34)

Now, substitute this expression for y into equation 1: x + 2(x - 34) = 127

Now, solve for x: x + 2x - 68 = 127 3x - 68 = 127 3x = 127 + 68 3x = 195 x = 195 / 3 x = 65

Now that we have found the value of x, we can find the value of y using equation 2: y = 2(65 - 34) y = 2(31) y = 62

Therefore, the measure of angle x is 65 degrees, and the measure of angle y is 62 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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