Question

do it if don't it's ok but don't give nonsense answer ​

Answer 1

Answer:

40°

Step-by-step explanation:

Part a)

The sum of a triangle's internal angles is 180°.
An isosceles triangle has 2 sides that are the same length.
Therefore, the 2 base angles will be equal to each other.

If the angle of the vertex is 100° then the base angles will be:

$\frac{180-100}{2}$ = 40°

Answer 2

Answer:

a) Sum of all angles of a triangle= 180

Given, an isosceles triangle with vortex angle 100°

Let the base angle be x

now in this isosceles angle base angles are equal= 2x

Therefore, 100+2x=180

                   2x=180-100=80

                    x=80/2=40 Ans.

b) (i) x=180-(y+z)   (Linear pair)

       x= 180- 135

       x=45 Ans.

   (ii) 3a+5x+6x=180 (Linear pair)

       3a+11x=180

       3a+(45x11)=180  (x=45 proved above)

       3a=180-495

       3a=-315

       a=-315/3

       a=-105   Ans.