Question

In the adjoining figure angle QPR = 62 ° and angle PRQ = 64° . If OQ and OR and bisects of angle PQR and angle PRQ respectively,then angle OQR and angle QOR:-
a) 121° , 20°
b) 27° , 121°
c) 20° , 80
d) 26° , 124°

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Answer 1

Answer:

b . 27 , 121

is the right answer

Answer 2

Given : ∠QPR=62°,∠PRQ=64°

OQ and OR bisects of angle ∠PQR and ∠PRQ

Step-by-step explanation:

IN Δ PQR;

∠P+∠Q+∠R=180°

62°+∠Q+64°=180°

∠Q=180°-126°

∠Q=54°

But, ∠PQR=54°

∠PQR+∠OQR=54°

let ∠PQO and ∠OQR=x°

we get, x°+x°=54°

2x°=54°

x°=54°/2

x°=27°

∠OQR=27°

likewise,

∠ORQ=64°

let ∠PRO and ∠ORQ be y°

2y°=64°

y°=64°/2  

y°=32°

finally  ∠x+∠O+∠Y=180°

∠27+∠O+∠32=180°

∠O=180°-59°

∠QOR=121°

Then angle OQR and angle QOR  b) 27° , 121°