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german
2 years ago
9

Is one angle is 30° then what is the measure of its complement

Mathematics
2 answers:
Vaselesa [24]2 years ago
8 0

Complementary angles are adjacent angles which add to equal 90 degrees. Adjacent angles are angles which share a vertex and a side.

Since the sum of complementary angles is always 90°, you can subtract 30 from 90 to find the missing angle measure.

90 - 30 = 60

<h3>Answer:</h3>

The measure of its complement is 60°.

zaharov [31]2 years ago
3 0

Answer:

90-30=60

Step-by-step explanation:

The measure is 60°.

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At 1 p.m., the number of cars in a parking lot is 78. Given the formula found in the first part of the question, An=78⋅1.09n, es
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Please, Help.<br>the answer isn't 30°
vagabundo [1.1K]

The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A)

<h3>How to find a missing angle by triangle properties</h3>

Triangles are <em>geometrical</em> figures formed by three sides and whose sum of <em>internal</em> angles equals 180°. There are two kind of triangles existing in this question: (i) <em>Right</em> triangles, (ii) <em>Isosceles</em> triangles.

<em>Right</em> triangles are triangles which one of its angles equals 90° and <em>isosceles</em> triangles are triangles which two of its sides have <em>equal</em> measures.

According to the statement, we know that triangle BQR is an <em>isosceles</em> triangle, whereas triangles ABC, ANB and NBC are <em>right</em> triangles. Based on the figure attached below, we have the following system of <em>linear</em> equations based on <em>right</em> triangles ABC and NBC:

<em>2 · x + 90 + θ = 180</em>   (1)

<em>(90 - x) + 90 + θ = 180</em>   (2)

By equalizing (1) and (2) we solve the system for <em>x</em>:

<em>2 · x = 90 - x</em>

<em>3 · x = 90</em>

<em>x = 30</em>

And by (1) we solve the system for <em>θ</em>:

<em>θ = 180 - 2 · x - 90</em>

<em>θ = 30</em>

<em />

The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A) \blacksquare

To learn more on right triangles, we kindly invite to check this verified question: brainly.com/question/6322314

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2 years ago
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