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2 answers:
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Answer:
x = 142°
Step-by-step explanation:
The first thing you need to figure out is the missing interior angle of the triangle.
There is 180 degrees in a triangle, there is a 90° and 52° angle listed, so subtract that from 180° to get the missing angle.
180° - 90° - 52° = 38°
Now we want the exterior angle x. Angle x and the interior angle form a straight line when combined which will also be a 180° angle. You can picture this as a half circle (a full circle is 360°).
So subtract the interior angle 38° from 180°
180° - 38° = 142°
<h2>The required equation of line is 2x - 3y - 9 = 0.</h2>
Step-by-step explanation:
Here, slope(m) = and y - intercept(c) = -3
To find, the required equation of line = ?
We know that,
The equation of a line with slope m and y-intercept c is given by
y = mx + c
∴ The required equation of line
y = x + (- 3)
⇒ y = x - 3
⇒ y + 3 = x
⇒ 3(y + 3) = 2x
⇒ 3y + 9 = 2x
⇒ 2x - 3y - 9 = 0
Thus, the required equation of line is 2x - 3y - 9 = 0.