Given : ABIICD
To Find : Value of x
Solution :
Properties of angles formed by transversal line with two parallel lines :
- Corresponding angles are congruent.
- Alternate angles are congruent. ( Interiors & Exterior both )
- Co-Interior angles are supplementary. ( adds up to 180*)
Draw a line parallel to AB and CD passing through the vertex at angle.
dividing it in 2 angles a and
< a = 62°. ( Interior Alternate angles are congruent.)
<b + 144° = 180° (Co-lnterior angles are supplementary.)
<b = 36°
- ∠x = ∠a + ∠b
- => ∠x = 62° + 36°
- => ∠x = 98°
