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2 years ago

Find the value of x. to 95° 135

Mathematics

1 answer:

Dvinal [7]2 years ago

6 0

The given angles are 95° and 135, and the value of x is 40.

<h3>What is the angle sum property?</h3>

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

The given angles are 95° and 135.

Let's consider the adjacent angle of 135 to be z.

So, as we can see that both angles make a linear pair.

z + 135 = 180

z = 180 - 135

z = 45

Let's consider the interior angle to be y.

then,

y = 95 ( vertically opposite angle)

Now, The angle sum property

x + y + z = 180

x = 180 - 95 + 45

x = 40

Thus, the value of x is 40.

Learn more about the triangles;

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$x=2,\ y=-5$

Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

$x =\frac{Det(A_X)}{Det(A)}$

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For this problem we know that:

$Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|$

Solving we have:

$|A|= 4*(-2) -(-6)*8\\\\|A|=40$

$Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|$

Solving we have:

$|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80$

$Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|$

Solving we have:

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