0
A side of a triangle below has been extended to form an exterior angle of 133 degrees. Find the value of x?
This is for a assignment that I need the answer to ASAP
To find the value of x in this scenario, we need to understand that the exterior angle of a triangle is equal to the sum of the two remote interior angles. In this case, the exterior angle of 133 degrees is equal to the sum of x and the adjacent interior angle. Therefore, we can set up the equation as 133 = x + (x + 37) since the other interior angle is 37 degrees (180 degrees - x = 37 degrees). By solving for x, we find that x = 48 degrees.
Still curious? Ask our experts.
Chat with our AI personalities
Devin
Ezra
JordanWell, honey, if the exterior angle is 133 degrees, that means the interior angle is the supplementary angle, which is 180 degrees minus 133 degrees, giving you 47 degrees. Since the exterior angle and the interior angle are on a straight line, they add up to 180 degrees. So, x must be 47 degrees. Hope that clears things up for ya, sugar!
Oh, isn't that just a happy little problem we have here? To find the value of x, we can use the fact that the exterior angle of a triangle is equal to the sum of the two opposite interior angles. So, if the exterior angle is 133 degrees, we can set up the equation x + (x + 57) = 133 and solve for x. Just a matter of adding a touch of math magic to reveal the answer!
A side of the triangle below has been extended to form an exterior angle of 133°. Find the value of
x
Add your answer:
Earn +20 pts
What is an exterior angle of a triangle and how does the measure of an exterior angle relate to the interior angles?
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
Which is a true statement about a exterior angle of a triangle?
180 degrees minus interior angle = exterior angle and that the 3 exterior angles of a triangle add up to 360 degrees.
In any triangle the measure of the exterior angle is equal to the sum of the measures of the?
In any triangle exterior angle plus interior angles = 180 degrees
How many degrees are there in each exterior angle of an equilateral triangle?
120 degrees. Each interior angle of an equilateral triangle is 60 degrees, so each exterior angle is 180 - 60 = 120 degrees It can also be worked out by the formula Exterior angle of a polygon = 360/no. of sides of the polygon = 360/3 = 120Each exterior angle measures 120 degrees and each interior angle measures 60 degrees because there are 180 degrees on a straight line.
What is the measure of the largest exterior angle of an isosceles right angle?
A isosceles right angle triangle will have 2 equal interior angles of 45 degrees and 1 angle of 90 degrees with its largest exterior angle being 180 -45 = 135 degrees.
