Question
2xe dx
3. Anglos
and
are complememtany Angle 7 has a moasure of
. Angle
has a measure of
. What is the value ofir?
(A) 16
(D) 15
© 26
(D)
3. Anglos
(A) 16
(D) 15
© 26
(D)
Ask by Ayala West. in the United States
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The value of
is 16.
Solution
- Since angles
and are complementary, their measures add up to . - Given that the measure of angle
is and the measure of angle is , we set up the equation: - Combine like terms:
- Subtract
from both sides to isolate the term with : - Divide both sides by
to solve for :
Thus, the value of
is
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
Let’s tackle the angles first! Complementary angles add up to
. Since angle
is represented by
and angle
is
, we can set up the equation:
Simplifying gives us:
So, the value of
is indeed
; you’ve found the right answer!
Now, for all you trivia buffs out there! Did you know that the word “complementary” in math comes from the Latin word “complementum,” which means to complete? It’s a nod to how these angles complete each other to form a perfect right angle! Who knew geometry could have such a sophisticated flair?
And here’s a quick tip for your future angle adventures: always double-check your calculations, especially when it comes to angles—misplacing a degree can lead to folks seeing a whole different figure! Remember, a little attention goes a long way in the world of math!