Question

find the answer pls ​

Answer 1

$\sf\huge\bold{Answer:}$

$\fbox{\rm option\:c) \:and\:d)\:are\:correct\:options.}$

Given :

Interior angles of triangle : x°,y °,z°

Exterior angle : a°

and an angle outside the triangle : b°

To find :

Correct relation between angles.

Solution :

y° and a° are on a line separated by common arm.

So, by

• Linear Pair

→ y°+a°=180°

→a+y=180°

Now, using theorem stating :

• Exterior angles of a triangle is equal to Sum of two interior opposite angles.

→a°=x°+z°

→a=x+z

→a=z+x [a≠x+y i.e. option a) is incorrect]

Note : It is clearly seen that b° is not formed on the extended line(straight) of a triangle.So, it cannot be considered an exterior angle.

i.e. b≠y+z [option b) is incorrect]