Question

Two adjacent angles form a complementary relationship. One angle is twelve more than twice the other angle. Draw a picture to represent the situation. Then solve for each unknown angle measure.

Answer 1

Answer:

The angles are 26 and 64

Step-by-step explanation:

When two angles are complementary, what this means is that the add up to 90 degrees

Now, let’s say one of the angles is x, the other angle is 12 more than twice it; mathematically that would be 2x + 12

Since they add up to be 90, we have

x + 2x + 12 = 90

3x + 12 = 90

3x = 90-12

3x = 78

x = 78/3

x = 26

The other angle is 2x + 12 = 2(26) + 12 = 52 + 12 = 64

Answer 2

Two adjacent angles form a complementary relationship. One angle is twelve more than twice the other angle than the value of that two complementary angles are $26^\circ$ and $64^\circ$.

Given :

• Two adjacent angles form a complementary relationship.
• One angle is twelve more than twice the other angle.

The sum of two complementary angles is $90^\circ$. Let one of the complementary angles be 'a' then the other complementary angle is (12 + 2a) according to the given data.

The mathematical expression of the sum of complimentary angles is:

a + (2a + 12) = $90^\circ$

Now, open the parenthesis and further simplify the above ex[pression.

3a + 12 = 90

Subtract both sides by 12 in the above expression.

3a + 12 - 12 = 90 - 12

3a = 78

Now, divide both sides by 3 in the above expression.

a = $26^\circ$

Now, the other complementary angle is (2(26) + 12 = $64^\circ$).

For more information, refer to the link given below:

https://brainly.com/question/1885693