Question

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 ..........................

Answer 1

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°