PT is a tangent to a circle with centre O and TM is perpendicular to OP,prove that TRIANGLE POT AND - Maths - Circles

Question

PT is a tangent to a circle with centre O and TM is
perpendicular to OP,prove that TRIANGLE POT AND TRIANGLE PTM HAVE
THEIR CORRESPONDING ANGLES EQUAL

priyanka saggu · Accepted Answer

△POT and △PTM∠PTO = ∠TMP ----(each
90°)∠TPO = ∠TPM-----(common)By angle sum
property,∠POT = ∠PTMSo, the corresponding angles of two
triangles are equal

PT is a tangent to a circle with centre O and TM is perpendicular to OP,prove that TRIANGLE POT AND TRIANGLE PTM HAVE THEIR CORRESPONDING ANGLES EQUAL.