Kiran surveyed a random sample of students in her school district, and she found these statistics:
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The sum of all the angles made by a straight line is 180°. Then the value of x is 61°.
<h3>What is an angle?</h3>Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
The angles are shown on the diagram.
The angles are 52° and 67°. And let the other angle be x.
We know that the sum of all the angles made by a straight line is 180°.
Then we have
x + 52° + 67° = 180°
On simplifying, we have the value of x.
x = 61°
Thus, the value of x is 61°.
More about the angles link is given below.
<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = 
</h2>
Step-by-step explanation:
Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)
The area of a triangle is=
=
= = 54 square units
The length of AC =
=
= units
Let the perpendicular distance from B to AC be = x
According To Problem
⇔ units
Therefore the perpendicular distance from B to AC is =