Question

I don’t know how to do this

Answer 1

first off, let's recall that supplementary angles are just two sibling angles that add up to 180°.

so we have ∡T and ∡S, but we also know that ∡T = 3∡S, namely T = 3S.

`\bf T+S=180\implies \stackrel{T}{3S}+S=180\implies 4S=180\implies S=\cfrac{180}{4}\implies S=45 \\\\\\ T=3S\implies T=3(45)\implies T=135`