Brainliest pls help due today
In the figure, lines A and B are parallel



Find the measure of angle 5 if measure of angle 1 =75^o and measure of angle 3 = 40^o

Brainliest pls help due today In the figure lines A and B are parallel Find the measure of angle 5 if measure of angle 1 75o and measure of angle 3 40o class=

Respuesta :

Answer:

There are three variables here:

Smallest angle: x

Next angle: 3x

Final angle: x+40

All of the angles of a triangle add to 180 degrees, so we can create an equation:

180=x+3x+x+40

180=5x+40

140=5x

28=x

Now we plug this number into our two other angles, in order to solve for all measurements:

3x

3(28)

84 degrees

x+40

28+40

68 degrees

In order to check our answers, we will add all the measures together, to ensure that they are 180 degrees:

28+84+68=180 degrees!

The largest of the three angles is 84 degrees

Step-by-step explanation: