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.
Answers
Answer:
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
Given : Two adjacent angles form a complementary relationship.
One angle is 12 more than twice the other angle
To Find : Solve for Each unknown angle
Solution:
When two adjacent angles forms a right angle then they are called complementary angles
One angle is 12 more than twice the other angle
=> A , 2A + 12
A + 2A + 12 = 90°
=> 3A = 78°
=> A = 26°
2A + 12 = 2(26°) + 12 = 64°
Angles are 26° and 64°
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