Question

please answer this immediately... ​

Answer 1

Answer:

x+x+64=180

2x=116

x=116/2=58

for the reason ray yq bisect zyp so angle zyq=yqp

and linear PAIR u know very well about that

Answer 2

Step-by-step explanation:

▪️∴ ∠XYZ + ∠ZYQ + ∠QYP = 180°

▪️⇒ 64° + ∠ZYQ + ∠QYP = 180°

▪️[∵ ∠XYZ = 64° (given)]

▪️⇒ 64° + 2∠QYP = 180°

▪️[YQ bisects ∠ZYP so, ∠QYP = ∠ZYQ]

▪️⇒ 2∠QYP = 180° – 64° = 116°

▪️⇒ ∠QYP =116°/2= 58°

▪️∴ Reflex ∠QYP = 360° – 58° = 302°

▪️Since ∠XYQ = ∠XYZ + ∠ZYQ

▪️⇒ ∠XYQ = 64° + ∠QYP [∵∠XYZ = 64°(Given) and ∠ZYQ = ∠QYP]

▪️⇒ ∠XYQ = 64° + 58° = 122° [∠QYP = 58°]

▪️Thus, ∠XYQ = 122° and reflex ∠QYP = 302°

Hopes it help you✌️✌️