There are two complementary angles, ∠5 and ∠6. If m∠5 = 39 degrees, what equation can you write to solve for m∠6?

Answer 1

Since two angles are complementary, the sum of their measures is 90 degrees. Thus, the equation to solve for the measure of ∠6 is:

m∠5 + m∠6 = 90

Answer 2

Two angles, ∠1 and ∠2, in a diagram are supplementary. If m∠1 = 77 degrees, what equation can you write to solve for m∠2? Let m∠2 be x degrees

Answer 3

Since two angles are supplementary, the sum of their measures is 180 degrees. Thus, the equation to solve for the measure of ∠2 (x degrees) is:

m∠1 + m∠2 = 180

Substituting m∠1 with 77 degrees and m∠2 with x degrees, the equation becomes:

77 + x = 180

Answer 4

5ere are angles whose measure add up to 180 degrees. their measures are m∠A = 67 degrees, m∠b = (2x + 20) degrees, and m∠C = x degrees. What is the measure of ∠B?

Answer 5

We know that the sum of the measures of angles A, B, and C is 180 degrees. Therefore, we can write the equation:

m∠A + m∠B + m∠C = 180

Substituting the given measures, we have:

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

Simplifying the equation:

67 + 2x + 20 + x = 180

Combining like terms:

3x + 87 = 180

Subtracting 87 from both sides of the equation:

3x = 93

Dividing both sides of the equation by 3:

x = 31

Now that we know the value of x, we can find the measure of ∠B:

m∠B = 2x + 20

Substituting x = 31:

m∠B = 2(31) + 20

m∠B = 62 + 20

m∠B = 82

Therefore, the measure of ∠B is 82 degrees.