There are two complementary angles, ∠5 and ∠6 . If m∠5=39° , what equation can you write to solve for m∠6 ?(1 point)
Responses

m∠6=180°−39°
x equals 180 degrees minus 39 degrees

m∠6=39°
x equals 39 degrees

m∠6+39°=180°
x plus 39 degrees equals 180 degrees

m∠6+39°=90°
x plus 39 degrees equals 90 degrees
The correct equation to solve for m∠6 is:
m∠6=180°−39°
you sure
I apologize for the confusion. You are correct. The correct equation to solve for m∠6 is:
m∠6=180°−39°
This is because the two angles are complementary, which means their measures add up to 90 degrees. Therefore, if one angle is 39 degrees, the other angle can be found by subtracting 39 degrees from 90 degrees.
two angles, ∠1
and ∠2
, in a diagram are supplementary. If m∠1=77° , what equation can you write to solve for m∠2 ? Let m∠2=x°
(1 point)
Responses
x°+77°=180°
x plus 77 degrees equals 180 degrees
x°=77°
x equals 77 degrees
x°=90°−77°
x equals 90 degrees minus 77 degrees
x°+77°=90°
x plus 77 degrees equals 90 degrees
The correct equation to solve for m∠2 is:
x°+77°=180°
This is because the two angles are supplementary, which means their measures add up to 180 degrees. Therefore, if one angle is 77 degrees, the other angle can be found by subtracting 77 degrees from 180 degrees.
There are angles whose measures add to 180°
180
°
. Their measures are: m∠A=67° , m∠B=(2x+20)° , and m∠C=x° . What is the measure of ∠B ?(1 point)
Responses

62°
62 degrees

82°
82 degrees

31°
31 degrees

180°
180 degrees
To find the measure of ∠B, we can set up an equation using the fact that the measures of all three angles add up to 180 degrees.
m∠A + m∠B + m∠C = 180°
Substituting the given measures:
67° + (2x+20)° + x° = 180°
Combine like terms:
67° + 2x + 20° + x = 180°
Combine like terms again:
3x + 87° = 180°
Subtract 87° from both sides:
3x = 93°
Divide both sides by 3:
x = 31°
Now we can substitute this value back into the expression for ∠B:
m∠B = 2x + 20° = 2(31°) + 20° = 62° + 20° = 82°
Therefore, the measure of ∠B is 82 degrees.
If there are two supplementary angles, ∠D
and ∠E
, where m∠D=(4x+8)° and m∠E=(x+17)° , and ∠F is a vertical angle with ∠D , what is the measure of ∠F ?
(1 point)
Responses
124°
124 degrees
31°
31 degrees
132°
132 degrees
48°