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2 years ago

A and b are complementary and congruent. what is the measure of each of these angles?

Mathematics

1 answer:

Nadya [2.5K]2 years ago

8 0

Answer: The required measures of angles A and B is 45°.

Step-by-step explanation: Given that the angles A and B are complementary and congruent.

We are to find the measure of angles A and B.

Let x and y represents the measures of angles A and B respectively in degrees.

According to the given information, we have

$x+y=90^\circ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x=y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equations (i) and (ii), we get

$x+x=90^\circ\\\\\Rightarrow 2x=90^\circ\\\\\Rightarrow x=\dfrac{90^\circ}{2}\\\\\Rightarrow x=45^\circ.$

Therefore, from equation (ii), we get

$x=y=45^\circ.$

Thus, the required measures of angles A and B is 45°.

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2 years ago

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beks73 [17]

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From the question, the center of the hyperbola is

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Hence the answer is

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4 months ago

Solve the math riddle below

Tju [1.3M]

Answer:

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Step-by-step explanation:

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Read 2 more answers

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Mashutka [201]

Answer:

Step-by-step explanation:

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2 years ago