Find the measure of angle 2 Correct Answer is 2
2 answers:
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Check the picture below.
the radius, so-called because if we circumscribe the triangle in a circle, that'd be the radius of the circumcircle, is 3 inches, as you see there in the picture in red.
now, bear in mind that the triangle is an equilateral one, and therefore, 180/3 = 60, meaning all its interior angles are congruently 60°.
if we run the radius of the triangle, like there, it will cut one of those interior angles in half, namely the radius is an angle bisector, and if we run a perpendicular line to the bottom side, like the dashed one there, we end up with a 30-60-90 triangle, to which we can apply the 30-60-90 rule, as you see it there.
since we know what half of a side of the triangle is, as you see it there in blue, then we can use that and plug it in at
the radius, so-called because if we circumscribe the triangle in a circle, that'd be the radius of the circumcircle, is 3 inches, as you see there in the picture in red.
now, bear in mind that the triangle is an equilateral one, and therefore, 180/3 = 60, meaning all its interior angles are congruently 60°.
if we run the radius of the triangle, like there, it will cut one of those interior angles in half, namely the radius is an angle bisector, and if we run a perpendicular line to the bottom side, like the dashed one there, we end up with a 30-60-90 triangle, to which we can apply the 30-60-90 rule, as you see it there.
since we know what half of a side of the triangle is, as you see it there in blue, then we can use that and plug it in at
Substitute the given value of x into the first equation
To solve for x distribute 3 though the parentheses
Collect like terms
Move the constant to the right-hand side and change its sign
Add the numbers
Divide both sides of the equation by 13
Now, Substitute the given value of x into the second equation
Plug in the value of x in the equation i.e. 1
Any number multiplied by 1 results in number itself
Calculate the difference
The possible solution of the system is the ordered pair (x,y)