Question

∠XYZ = 64° AND XY IS PRODUCED TO POINT P. A RAY YQ BISECTS ∠ZYP. DRAW A FIGURE FROM THE GIVEN INFORMATION. FIND ∠XYQ AND REFLEX ∠QYP

Answer 1

Please view the image. Hope it helps, please mark it as brainliest

Answer 2

Answer:

Step-by-step explanation:

Given: ∠XYZ = 64°

Now, ∠XYZ + ∠ZYP = 180°(Linear pair)

Or, 64° + ∠ZYP = 180°

Or, ∠ZYP = 180° - 64° = 116°

Since, YQ bisects ∠ZYP 

So, ∠ZYQ = ∠PYQ = ½ ∠ZYP = 116°/2 = 58°

So, ∠XYQ = ∠XYZ + ∠ZYQ = 64°+ 58° = 122°

Now, reflex ∠QYP = 360° - 58° = 302°