(see image for question)

65 degrees

Step-by-step explanation:

triangle exterior angle theorem states that the exterior angle of a triangle is equivilant to the opposite 2 interior angles

apply therorem to get equation:

7x+10= (2x+40)+ (3x)

solve for x

7x+10= 5x+40

2x+10= 40

2x= 30

x=15

angle ABC is 180- (7x+10)

=180 -(7(15)+10)

=180 -( 105+10)

=180 -115

=65

65 degrees

Step-by-step explanation:

The angle in question, when added to the corresponding angle outside the triangle, will equal 180 degrees. Therefore:

180 = (7x+10) + ∠ABC

∠ABC = 180 - (7x+10) = 170 - 7x

Now, the sum of the angles inside the triangle will also add to equal 180. To find the measure of ABC, we must first solve the triangle for x:

180 = (170-7x) + (2x+40) + (3x)

180 = 210-2x

x = (180-210)/-2 = 15

Now, input x into ABC to get the degree measure.

ABC = 170 - 7(15) = 170 - 105 = 65 degrees.

Hope this helped!

the answer is 0.3175 hope that you ^w^

also you might actually want to put this picture up if you want people to solve it luckily i remember this question

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: