An angle measures 48.4° less than the measure of its complementary angle. What is the measure of each angle?
1 answer:
Answer:
The angles are 69.2 degrees and 20.8 degrees
Step-by-step explanation:
Complementary angles, when added together, = 90°
We’ll call the first unknown angle a and the second angle b
b = a - 48.4
a + b = 90
So let’s substitute in for b in the second equation:
a + a - 48.4 = 90
2a - 48.4 = 90
2a = 138.4
a = 69.2
69.2 - 48.4 = 20.8 = b
Now, does a + b = 90?
69.2 + 20.8 = 90
Lmk if you have questions
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