Question

Angle XYZ =64 and xy is produced to p draw a figure for given information. If ray yq bisects angle ZYP then find XYQ and reflex Qyp

Answer 1

Answer:After making the figure from the information take angle XYP as 180° Draw YQ

Angle XYZ+ZYP=180°

64°+ZYP=180°

ZYP=180-64

ZYP=116

ZYQ+QYP=116

ZYQ+ZYQ=116( BECAUSE YQ BISECTS ZYP)

2 ZYQ=116

ZYQ=116/2

=58°=QYP

REFLEX QYP=300°-58°

=302°

Step-by-step explanation:

Answer 2

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°