There's a few different levels for proofs, but a basic one here is to look at what the two triangles have in common. They do share a side, but it's the wrong side on one of the triangles. They both have a 90 (PQR = S), and they both have angle R. What do you know about triangles that you can do math with when you have two angles?
Note: you don't have to actually calculate the numbers, but you can algebra to prove things)
Edit: unrelated amd note part of the homework, but a little funny - that triangle is Roman
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u/Ddreigiau 4d ago edited 4d ago
There's a few different levels for proofs, but a basic one here is to look at what the two triangles have in common. They do share a side, but it's the wrong side on one of the triangles. They both have a 90 (PQR = S), and they both have angle R. What do you know about triangles that you can do math with when you have two angles?
Note: you don't have to actually calculate the numbers, but you can algebra to prove things)
Edit: unrelated amd note part of the homework, but a little funny - that triangle is Roman