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grandymaker [24]
2 years ago
12

An angle measures 8.8° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
Fittoniya [83]2 years ago
6 0

Based on the definition of complementary angles, the two angles are: 49.4° and 40.6°.

<h3>What are Complementary Angles?</h3>

Angles that are complementary angles have a sum of 90 degrees.

Let the angle be represented as x

Complement of the angle = (90 - x)

Therefore, we would have:

x = (90 - x) + 8.8

x = 90 - x + 8.8

x = 98.8 - x

x + x = 98.8

2x = 98.8

x = 98.8/2

x = 49.4°

The second angle would be: 90 - 49.4 = 40.6°

The angles are 49.4° and 40.6°.

Learn more about complementary angles on:

brainly.com/question/16281260

#SPJ1

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area \: of \:  \triangle =  \frac{1}{2}  \times base \times altitude \\  \\ 40 =  \frac{1}{2}  \times x \times (x + 2) \\  \\ 80 =  {x }^{2} +2x \\  \\   {x}^{2}  + 2x - 80 = 0 \\  {x}^{2}  + 10x - 8x - 80 \\ x(x + 10) - 8(x + 10)  = 0\\ (x + 10)(x - 8) = 0 \\ x + 10 = 0 \:  \: or \:  \: x - 8 = 0 \\ x =  - 10 \:  \: or \:  \: x = 8 \\ base \: can \: not \: be \:  - ve \\ x \neq - 10 \\ x = 8 \\ x + 2 = 8 + 2 = 10 \\

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