Question

What is the value of x?
360
x = [?]​

Answer 1

Answer:

x = 54

Step-by-step explanation:

The line is tangent. Therefore, the angle between the tangent and the radius is the right angle.

We know: the sum of the angles measures in a triangle is 180°.

Therefore we have the equation:

$x+36+90=180$          combine like terms

$x+126=180$            subtract 126 from both sides

$x=54$

Answer 2

The value of x is $54^{0}$.

What is tangent?

A line that touches the circle at a single point is known as a tangent to a circle.

As by theorem:

The tangent is always perpendicular to the radius of the circle.

Also, The sum of the angles measures in a triangle is 180°.

By, Using Angle Sum property, we have

90 + x + 36 = 180

x+ 126= 180

x= 180-126

x= 54$^{0}$

Hence, the value of x is $54^{0}$.

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