HJK and ∠RST are supplementary angles. If ∠HJK is 56∘ , what is the measure of ∠RST ?

Answer 1

46

Answer 2

Two Angles are Supplementary when they add up to 180 degrees.

180 - 56 = ?

Answer 3

124

Answer 4

Right, so if ∠HJK is 56∘ and it is supplementary to ∠RST then:

∠HJK + ∠RST = 180°

Substituting 56° for ∠HJK we get:

56° + ∠RST = 180°

We can then solve for ∠RST:

∠RST = 180° - 56°

∠RST = 124°

Therefore, the measure of ∠RST is 124 degrees.