In a ABC shown below, side AC is extended to point D with m Z DAB= (180 – 3x) °, mZ B= (6x – 40) °, and m ZC = (x+20) °. Whats the measure of angle BAC?

60°

Step-by-step explanation:

Given :

DAB= (180 – 3x) °,

mZ B= (6x – 40) °, and

m ZC = (x+20) °.

DAB = mZ B + m ZC ( the exterior angle equal the sum of the two opposite interior angles)

180 - 3x = (6x - 40) + (x + 20)

180 - 3x = 6x - 40 + x + 20

180 - 3x = 6x + x - 40 + 20

180 - 3x = 7x - 20

180 + 20 = 7x + 3x

200 = 10x

x = 200/10

x = 20

Angle B = 6x - 40 = 6(20) - 40 = 120 - 40 = 80

Angle C = x + 20 = 20 + 20 = 40

BAC = 180 - (80 + 40) (SUM OF ANGLES IN A TRIANGLE)

BAC = 180 - 120

BAC = 60°

50*10 is greater

step-by-step explanation:

if you add the zero from 10 to 50, it will give you a bigger number.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have