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german
2 years ago
14

An angle measures 22.4° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
Alchen [17]2 years ago
4 0

The first angle is 33.8° and second angle is 56.2°.

<h3>What is Complementary angle?</h3>

If the sum of the two angles is equal to the measurement of a right angle then the pair of angles is said to be complementary angles.

Complementary angles are the angles whose sum makes 90⁰.

Let's say our first angle is x:

x = first angle

According to the question,

The other angle is 22.4° more than the complementary angle.

Therefore, 22.4° will be added to the other angle.

first angle  = x

second angle = x + 22.4°

Since, complementary angle is equal to the sum of the two angles to be 90°.

∴ x + x + 22.4°  = 90°

    2x = 90 ° - 22.4°

    2x = 67.6°

     x = 67.6° / 2

     x = 33.8°

Thus, the first angle is 33.8° and second angle is 56.2°.

Learn more about Complementary angle from:

brainly.com/question/2882938

#SPJ1

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To find differences in the angles of the intersections we must know how many degrees each angle corresponds to. We must also take into account that the sum of the internal angles must equal 180°.

<h3>What is a triangle?</h3>

A triangle is a polygon that is characterized by having three sides, three vertices, and three angles. An indispensable rule of the interior angles of the triangles is that they must add up to 180º.

Triangles are classified according to their characteristics as shown below:

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  • Isosceles triangle: It is a type of triangle that is characterized by having two equal sides and one different. Consequently, it also has two equal angles.
  • Scalene triangle: A scalene triangle is one that is characterized by having all its sides and angles unequal, that is, different from each other.

According to the above, depending on the measurements of the length of the sides and the angles of a triangle, its characteristics and classification change.

Note: This question is incomplete because the image is missing. However I can answer it based on my general prior knowledge.

Learn more about triangles in: brainly.com/question/2773823

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