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there are two complementary angles, 5 and 6 if m5 = 39 what eqation can you write to solve for m 6
m6 + 39 = 90
m6 = 180 - 39
m6 = 39
m6 + 39 = 180

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two angles 1 and 2 in a diagram are supplementary if m1 = 77 what eqation can you write to solve m 2 let m2 = x
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there are angles whose measures add to 180 their measures are m a = 67 mb = (2x +20) and mc = x what is the measure of b
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if there are two supplementary angles d and e where md= (4x + 8) and me = (x + 17) and f is a vertical angle with d what is the measure of f
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in a geometric diagram a and b are complementary and they form a straight line c if m a = x m b (2x) and mc = 90 what is the measure of b
Answered by GPT 3.5
The equation to solve for m6 is m6 + 39 = 180.
Answered by GPT 3.5
The equation to solve for m2 would be:

m1 + m2 = 180

Substituting m1 = 77 and m2 = x:

77 + x = 180
Answered by GPT 3.5
The sum of the measures of angle a, b, and c is equal to 180 degrees:

m(a) + m(b) + m(c) = 180

Given that m(a) = 67, m(b) = 2x + 20, and m(c) = x, we can substitute these values into the equation:

67 + (2x + 20) + x = 180

Simplifying the equation:

67 + 2x + 20 + x = 180
3x + 87 = 180

To solve for x, we can subtract 87 from both sides:

3x = 180 - 87
3x = 93

Dividing both sides by 3:

x = 93/3
x = 31

Now that we have x, we can find the measure of angle b:

m(b) = 2x + 20 = 2(31) + 20 = 62 + 20 = 82

Therefore, the measure of angle b is 82 degrees.
Answered by GPT 3.5
If angle d and angle e are supplementary, their measures add up to 180 degrees.

m(d) + m(e) = 180

Given that m(d) = 4x + 8 and m(e) = x + 17, we can substitute these values into the equation:

(4x + 8) + (x + 17) = 180

Simplifying the equation:

5x + 25 = 180

Subtracting 25 from both sides:

5x = 180 - 25
5x = 155

Dividing both sides by 5:

x = 155 / 5
x = 31

Now that we have the value of x, we can find the measure of angle d and angle e:

m(d) = 4x + 8 = 4(31) + 8 = 124 + 8 = 132
m(e) = x + 17 = 31 + 17 = 48

Since angle f is a vertical angle with angle d, they have the same measure. Therefore, the measure of angle f is also 132 degrees.
Answered by GPT 3.5
Since angles a and b are complementary, their measures add up to 90 degrees.

m(a) + m(b) = 90

Given that m(a) = x and m(b) = 2x, we can substitute these values into the equation:

x + 2x = 90

Combining like terms:

3x = 90

To solve for x, we can divide both sides of the equation by 3:

x = 90 / 3
x = 30

Now that we have x, we can find the measure of angle b:

m(b) = 2x = 2 * 30 = 60

Therefore, the measure of angle b is 60 degrees.

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