(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!

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answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.