Find m< 2 if m< 1 = 100 and m< 6 = 128. answers and figure attached!

<6 +<3 =180  straight line

128+<3 =180

subtract 128 from each side

<3 = 180-128

<3 = 52

<1 + <2 + <3 = 180  sum of the angles of a triangle

100 + <2 + 52  = 180

152 +<2 = 180

subtract 152 from each side

<2 = 180-152

<2 =28

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

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.