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Vinvika [58]
3 years ago
11

Given: m∠1 = 140°, find m∠5. A) 40° B) 90° C) 130° D) 140°

Mathematics
1 answer:
Otrada [13]3 years ago
7 0

Answer:

The correct option is D) 140°

Step-by-step explanation:

Consider the provided figure.    

When two parallel lines intersect by a transverse,  then the corresponding angles  are equal in measure.

Here the corresponding angles are:

m∠1 = m∠5 and m∠2 = m∠6

m∠3 = m∠7 and m∠4 = m∠8

We need to find the measure of angle 5. It is given that  m∠1 = 140°

From the above we know that m∠1 = m∠5, thus

m∠5 = 140°

Hence, the correct option is D) 140°

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The product of a <em>complex</em> number and its conjugate is (a + i b) · (a - i b), where a and b are <em>real</em> numbers, and the result for the <em>complex</em> number 2 + i 3 is 13.

<h3>What is the multiplication of a complex number and its conjugate</h3>

Let be a <em>complex</em> number a + i b, whose conjugate is a - i b. Where a and b are <em>real</em> numbers. The product of these two numbers is:

(a + i b) · (a - i b)

Then, we proceed to obtain the result by some algebraic handling:

a · (a + i b) + (- i b) · (a + i b)

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If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:

z\cdot \bar z = 2^{2} + 3^{2}

z\cdot \bar z = 13

To learn more on complex numbers: brainly.com/question/10251853

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