Question

Find the value of unknown angle in the following figure ​

Answer 1

Answer:

x = 65°, y = 66°

Step-by-step explanation:

Let begin by finding the value of x.

Look carefully at the figure and then relate what is written.

By the property of vertically opposite angles, we can say,

x = 65° .............. (1)

Then, in ∆PQR,

Angle P + Angle Q + Angle R = 180° [ Triangle Sum Property ]

x + 49° + y = 180°

x + y = 180° - 49°

x + y = 131°

65° + y = 131°

y = 131° - 65°

y = 66°