in the given figure PR perpendicular RT and angle P :angle Q : angle R = to 3 : 2 :1. find the value of angle TRS
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Answered by
22
P:Q:R = 3:2:1
Let Angles = 3x, 2x, x
P + Q + R = 180° (Angle Sum Property of a triangle)
=> 3x + 2x + x = 180
=> 6x = 180
=> x = 30°
P = 90°
Q = 60°
R = 30°
/_TRS = 180° - (/_TRP + /_PRQ) [Linear Pair]
=> /_TRS = 180 - 30 - 90
=> /_TRS = 60°
Answered by
8
P:Q:R = 3:2:1
Let Angles = 3x, 2x, x
P + Q + R = 180° (Angle Sum Property of a triangle)
=> 3x + 2x + x = 180
=> 6x = 180
=> x = 30°
P = 90°
Q = 60°
R = 30°
/_TRS = 180° - (/_TRP + /_PRQ) [Linear Pair]
=> /_TRS = 180 - 30 - 90
=> /_TRS = 60°
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