Question

given that angle xyz=64°,xy is produced to point p .a ray YQ, bisects angle zyp.draw the figure from the given information.find xyq and reflex angle qyp​

Answer 1

its figure is something like this...

Answer 2

Question:-

given that angle xyz=64°,xy is produced to point p .a ray YQ, bisects angle zyp.draw the figure from the given information.find xyq and reflex angle qyp

Solutions:-

$∠XYZ = 64°$

$∠XYZ + ∠ZYP = 180°$(Linear pair)

$64° + ∠ZYP = 180°$

$∠ZYP = 180° - 64° = 116°$

$YQ bisects ∠ZYP$

$∠ZYQ = ∠PYQ = ½ ∠ZYP = 116°/2 = 58°$

$∠XYQ = ∠XYZ + ∠ZYQ = 64°+ 58° = 122°$

Therefore:

$reflex ∠QYP = 360° - 58° = 302°$

AnsWeR:-

$\sf\fbox\color{green}{reflex ∠QYP = 360° - 58° = 302°}$