an angle measures 27.4 more than the measure of its complementary angle what is the measure of each angle
1 answer:
Hello!
<h2>
31.3° and 58.7°</h2><h2>
</h2>
To solve, we can set up an algebraic expression.
Complementary angles add up to 90°, and in this instance, one angle is 27.4° more than the other. Therefore:
∠1 = x
∠2 = x + 27.4°
∠1 + ∠2 = 90°
x + (x + 27.4°) = 90°
Combine like terms:
2x + 27.4° = 90°
Subtract 27.4 from both sides:
2x = 62.6°
Divide both sides by 2:
x = 31.3°
Therefore, one of the angles is 31.3°. Solve for the measure of the other angle:
(31.3°) + 27.4° = 58.7°
You might be interested in
A because if you look t is on +3 and r is on -41/2
4x+19=7x+16
4x=7x-3
-3x=3
x=1
Circle: 8m times 3.14 squared = 201
two circles: 201 times 2 = 402
entire figure including circles: 24 times 34 = 816
Answer:
no
Step-by-step explanation:

