Step-by-step explanation:
Supplementary angles are angles that have the sum of their angles to be 180°. Hence if <1 and <2 are supplements, then <1+<2 = 180°.... 1
Similarly if <3 and <4 are supplements, then <3+<4 = 180° ....... 2
Equating the left hand side of both equations since they are both equal to 180°, we will have;
<1+<2 = <3+<4 ....... 3
From the question we are told that <1 = <4, substituting this condition into equation 3;
From 3; <1+<2 = <3+<4
<4+<2 = <3+<4 (since <1 = <4)
subtract <4 from both sides
<4+<2 -<4= <3+<4 -<4
<2 = <3 (Proved!)
I am going to assume these are points across the same line. (line segments)
If so, then jk + kl = jl
If jk is 6x and kl is 3x, we can solve for x.
6x + 3x = 27 (note we subbed 27 in for jl)
9x = 27 (divide both sides by 9 to leave on x on the left)
x = 3
CHECK! sub 3 in for x in the original problem.
6 (3) + 3 (3) = 27
18 + 9 = 27
Yes! It checks. x = 3
After the contractor cut the 3.25 foot piece off the 12 foot piece of lumber, 8 3/4 feet of lumber was left. He than made 6 cuts to have 7 pieces of wood 1 1/4 feet long.
Is there a picture to go with is
Answer:
dance u will find jjxjj high
