Draw a point where the two arcs intersect. 9 Place the tip of your compass on the vertex of the given angle, point K, and swing an arc that
intersects both rays of the given angle
Keeping the compass the same width, use the compass to draw an arc from the endpoint T.
Draw the points of intersection between each arc and the ray, or rays, it intersects.
* Use your straightedge to draw a ray between endpoint T and the point of intersection between the
two arcs
Open the compass to the width of the intersection points between the arc and the two rays of given
angle JKL
Use a straightedge to create a ray with endpoint T
Keeping the compass width the same draw an arc from the point of intersection between the
second arc and ray

step-by-step explanation:

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(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240