find the values of x,y and z
Answers
Answer:
z is 60 degree
y is 60 degree and x is 60 degree
Step-by-step explanation:
z and 120 form linear pair
so 180-120=60[value of z]
pr=pq[given]
so the angle will equal
so y is 60 degree
according to angle sum property the sum of angles should be 180.
so x=60
WHICH TYPE OF TRIANGLE IS IT?
It is an equilateral triangle.
WHAT IS AN EQUILATERAL TRIANGLE?
An equilateral triangle is a type of triangle whose all sides are equal and also all angles are equal which are the 2 properties of an equilateral triangle.
ANSWER
In triangle PQR
/PQD is an exterior angle which is equal to 120°
So, /PQD + z = 180° ( Linear pair axiom)
=>120° + z = 180°
=>z=180°-120°
=>z = 60°
As all the angles of an equilateral triangle are equal.
Therefore, x=y=z=60°.
HOPE THIS WILL HELP YOU WITH THANKS.