There are two complementary angles<5 and <6 if m<5= 39° what equation can u write to solve for m<6

Answer 1

If two angles are complementary, their measures add up to 90°.

Given that the measure of angle <5 is 39°, we can write the equation:

m<5 + m<6 = 90°

Substituting the known value:

39° + m<6 = 90°

Therefore, the equation to solve for m<6 is:

m<6 = 90° - 39°

m<6 = 51°

Answer 2

Two angles <1 and <2 in a diagram are supplementary if m<1 = 77° what equation can u write to solve for m<2?
let m<2=x

Answer 3

If two angles are supplementary, their measures add up to 180°.

Given that the measure of angle <1 is 77° and the measure of angle <2 is represented by x, we can write the equation:

m<1 + m<2 = 180°

Substituting the known value:

77° + x = 180°

Therefore, the equation to solve for m<2 is:

x = 180° - 77°

x = 103°

Answer 4

There are angles whose measures add up to 180°
their measures are:m<A = 67
m<B = (2x+20)
and
m<C = x
what is the measure of <B

Answer 5

To find the measure of angle <B, we can set up the equation:

m<A + m<B + m<C = 180°

Substituting the known values:

67° + (2x + 20°) + x° = 180°

Combining like terms:

67° + 2x + 20° + x = 180°

3x + 87° = 180°

Subtracting 87° from both sides:

3x = 93°

Dividing both sides by 3:

x = 31°

Now that we know x = 31°, we can substitute it back into the measure of angle <B:

m<B = 2x + 20°

m<B = 2(31°) + 20°

m<B = 62° + 20°

m<B = 82°

Therefore, the measure of angle <B is 82°.

Answer 6

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

Answer 7

Since angle D and angle E are supplementary, their measures add up to 180°.

We know that m<D = (4x+8)° and m<E = (x + 17)°.

So, we can set up the equation:

m<D + m<E = 180°

Substituting the given values:

(4x+8)° + (x + 17)° = 180°

Combining like terms:

5x + 25° = 180°

Subtracting 25° from both sides:

5x = 155°

Dividing both sides by 5:

x = 31°

Now that we know x = 31°, we can substitute it back into the measure of angle F:

m<F = m<D (since angle F is vertical with angle D)

m<F = (4x + 8)°

m<F = (4 * 31° + 8)°

m<F = (124° + 8°)°

m<F = 132°

Therefore, the measure of angle F is 132°.

Answer 8

in a geometric diagram<A and <B are complementary and they form a straight line with <C if m<A= x° and m<B= (2x) and <C=90 what is the measure of <B

Answer 9

If angle <A and angle <B are complementary and form a straight line, their measures add up to 180°.

Given that m<A = x° and m<B = 2x°, we can set up the equation:

m<A + m<B = 180°

Substituting the given values:

x° + 2x° = 180°

Combining like terms:

3x° = 180°

Dividing both sides by 3:

x° = 60°

Now that we know x = 60°, we can substitute it back into the measure of angle <B:

m<B = 2x°

m<B = 2(60°)

m<B = 120°

Therefore, the measure of angle <B is 120°.

Answer 10

is either
60
180
90
30

Answer 11

No, none of those options are correct.

From the previous calculations, we found that the measure of angle <B is equal to 120°.