In the given figure , if QO and OR are the bisectors of angle PQR and angle PRQ respectively , then find the measure of angle QPR , OQR , ORQ
PLZ ANSWER FAST AND CORRECT ..........................
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In the given figure , if QO and OR are the bisectors of angle PQR and angle PRQ respectively , then find the measure of angle QPR , OQR , ORQ
PLZ ANSWER FAST AND CORRECT ..........................
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Answer:
‹QPR = 40°
‹OQR = 20°
‹ORQ = 50°
Step-by-step explanation:
OQ is bisector, Therefore,
‹PQO = ‹RQO = 2x
similarly, ‹PRO= ‹QRO = 5x
in ∆OQR,
sum of interior angles = 180°
110 + 2x + 5x = 180
7x = 70
x= 10
‹OQR= 2x = 2×10 = 20°
‹ORQ= 5x = 5×10 = 50°
In ∆PQR, sum angles = 180°
‹QPR + 2(2x) + 2(5x) = 180
‹QPR + 4x + 10x = 180
‹QPR + 140 = 180
‹QPR = 40°