Given: abcd is a parallelogram.
prove: m∠a + m∠b + m∠c + m∠d = 360˚
parallelogram a b c d is shown.
by the definition of a parallelogram, ad∥bc and ab∥dc. using, ad as a transversal, ∠a and ∠ are same-side interior angles, so they are . by the definition of supplementary, m∠a + m∠d = 180. using side as a transversal, ∠b and ∠c are same-side interior angles, so they are supplementary. by the definition of supplementary, m∠b + m∠c = 180. so, m∠a + m∠d + m∠b + m∠c = 180 + 180 by the property. simplifying, we have m∠a + m∠b + m∠c + m∠d = 360˚.

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.

∡ eia and ∡ kij are congruent

step-by-step explanation:

keene f. ffnfnfnfnfnfnfn f bfnfnfnfnfj