Question

find x,y,z in the following figure​

Answer 1

Answer:

x= 80

y= 50

z= 50

correct h

Answer 2

To find :- Values of " x , y and z " respectively .

Used Concepts :- In any triangle if two sides are equal then the opposite angles to the equal sides are also equal .

:- Sum of all angles on a straight line is 180° . This property is also known as Linear pair.

:- Sum of all angles of a triangle is equal to 180° . This property is known as angle sum property of a Triangle .

Solution :- Here , 45° , 55° and x angles make a linear pair .

Therefore , 45° + 55° + x = 180° [ Linear Pair ]

x + 100° = 180°

x = 180° - 100°

x = 80°

Now , in the given triangle angle Y = angle Z [ Because angle opposite to equal sides are also equal ] .

Therefore , x + y + z = 180° [ Angle Sum property of Triangle ] .

But, y = z

So, x + y + y = 180°

80° + 2y = 180°

2y = 180° - 80°

2y = 100°

y = 100/ 2 = 50°

Therefore, x = 80°

y = 50°

z = 50°