If the difference of the measures of two complementary angle is 120, then the angles will be A. 550, 350 B. 510, 390 C. 520, 380 D. none of these

We know, two angles are said to be complementary, if the sum of their measures is 90

∘

.

Let the angle be x

∘

and its complement is 90

∘

−x

∘

Then, according to the statement,

⇒x

∘

−(90

∘

−x

∘

)=12

∘

⇒x

∘

−90

∘

+x

∘

=12

∘

⇒2x

∘

=12

∘

+90

∘

=102

∘

⇒x

∘

=

2

102

∘

=51

∘

.

Hence, the measure of the angle is x=51

∘

and its complement is 90

o

−x=90

o

−51

o

=39

∘

.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.