Question

find the value of angles x, y and z in each of the following​

Answer 1

Answer:

Theorem:

• Opposite angles are equal when two straight lines intersect
• Total Angle around a point equals 360°

i) solution :

x = 55 ° and y = z °

Since angle around a point equals 360°

=>x + y + z + 55 ° = 360°

Substituting x and y

=> 55° + z° + 55 ° = 360°

=> z° = 360° - 55° - 55°

=> z° = 360° - 110°

=> z° = 250°

=> y° = 250°

=> x° = 55°

ii) Solution :

z° = 40°

y° = x° + 25°

Since angle around a point equals 360°

=> 40° + x° + 25° + z° + y° = 360°

Substituting z and y

=> 40° + x° + 25° + 40° + x° + 25° = 360°

=>2x° + 130° = 360°

=>2x° = 360° - 130°

=>2x° = 230°

=>x° = 115°

=>y° = x° + 25° = 115° + 25° = 140°

=>z = 40°

Answer 2

Hey here is your answer.. hope it helps u.