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In the adjoining figure, ∠RST = 56° , seg PT ⊥ ray ST, seg PR ⊥ ray SR and seg PR ≅ seg PT. Find the measure of ∠RSP. State the reason for your answer. |
Answer» seg PT ⊥ ray ST, seg PR ⊥ ray SR [Given] seg PR ≅ seg PT ∴ Point P lies on the bisector of ∠TSR [Any point equidistant from the sides of an angle is on the bisector of the angle] ∴ Ray SP is the bisector of ∠RST. ∠RSP = 56° [Given] ∴ ∠RSP = (1/2) ∠RST = (1/2) x 56° ∴ ∠RSP = 28° |
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