The measures of the angles of △abc are given by the expressions in the table. angle measure a 48° b (6x−28)° c (2x)° find the value of x. then find the measures of angles b and c. enter your answers in the boxes. x = m∠b= 48 º m∠c= 12 º

A 48°

B (6x−28)°

C (2x)°

48 + 6x -28 + 2x = 180 degrees

8x = 160 degrees

x = 20

angle B = 6x - 28 = 92

angle C = 2x = 40

Double-Check

Angle A + B + C = 48 + 92 + 40

Angle A + B + C = 180 degrees

Part 1) the value of x is  

Part 2)

Part 3)

Step-by-step explanation:

Part 1)

Find the value of x

we know that

The sum of the internal angles of a triangle must be equal to

so

In this problem

substitute the values

solve for x

Part 2) Find the measure of angle B

substitute the value of x

Part 3) Find the measure of angle C

substitute the value of x

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

5+2x=a

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