Question

1 and 2 are supplements, 3 and 4 supplements and 1 =4. prove 2=3
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Answer 1

Answer: I’m not sure if this is what you need but-

Explanation:

Answer 2

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!)