Question

Please help with all parts of the question

Answer 1

hey mate !
here is your answers
1. x = 40°
reason = isosceles triangle property
2. x = 90°
reason = isosceles property and angle sum property
3.x = 50°
reason = isosceles triangle property
4. x = 40°
reason = 100 + x + x = 180° (angle sum property)
therefore 100 + 2x = 180
hence 2x = 80
therefore x = 40
5. x = 45 °
reason = isosceles triangle property
6. x = 70°
reason = 40 + x + x = 180 ( angle sum property)
Therefore 40 + 2x = 180
hence 2x = 140
and x = 70
7. x = 120 - x
8. x = 55°
9. x = 30° ( vertically opposite angles )

Answer 2

(I) x=40 (in isosceles triangles who sides are equal then their opposite angles are also equal)

(II) x=90 (right angle triangle or you can check by ASP )

(III) x=50 (same as (i)

(IV) x=40 (let other angle = x   So by ASP )

(V) x= 45 (same as (iv))

(VI) x=70 ( same as (iv))