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
9 answers
The equation to solve for m6 is m6 + 39 = 180.
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
The equation to solve for m2 would be:
m1 + m2 = 180
Substituting m1 = 77 and m2 = x:
77 + x = 180
m1 + m2 = 180
Substituting m1 = 77 and m2 = x:
77 + x = 180
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
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.
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.
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
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.
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.
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
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.
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.
4 answers