HJK and ∠RST are supplementary angles. If ∠HJK is 56∘ , what is the measure of ∠RST ?
124
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.
To find the measure of ∠RST, we need to use the fact that supplementary angles add up to 180 degrees.
Given that ∠HJK is 56 degrees and ∠HJK and ∠RST are supplementary angles, we can set up the equation:
∠HJK + ∠RST = 180 degrees
Substituting the given value:
56 degrees + ∠RST = 180 degrees
To solve for ∠RST, we isolate the variable by subtracting 56 degrees from both sides of the equation:
∠RST = 180 degrees - 56 degrees
Simplifying the right side:
∠RST = 124 degrees
Therefore, the measure of ∠RST is 124 degrees.
Two Angles are Supplementary when they add up to 180 degrees.
180 - 56 = ?