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In the adjoining figure if AB // CD then find x, y, z.CeP3x23►DAs180►BQR |
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Answer» Given, AB II CD PQR is a triangle ️. To find : x, y, z Solution : Since AB II CD, THUS, Angle DPQ + Angle RQP = 180⁰ ( SUM of co-intererior angles on the same side of TRANSVERSAL in a parallel LINES is 180⁰) => 2x⁰ + 3x⁰ + 80⁰ = 180⁰ => 5x⁰ = 180⁰ - 80⁰ 100 100=> x = ------ = 20⁰ 100=> x = ------ = 20⁰ 5
Thus, Angle QPR = 2x = 40 in triangle PQR, ANGLE (PQR +QPR+RPQ) = 180⁰ ( angle sum property) => 80⁰ + y⁰ + 40⁰ = 180⁰ => y⁰ + 120⁰ = 180⁰ => y⁰ = 180⁰ - 120⁰ = 60⁰ Now, y⁰ + z⁰ = 180⁰ ( linear pair) thus, 60⁰ + z⁰ = 180⁰ thus, z = 180 - 60 = 120⁰ |
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