Question

find x and y in each of the following​

Answer 1

Answer:

In the diagram one,

∠B=∠C (Isosceles triangle's base angles are equal)

60°=∠B=∠C=∠y (alternate interior angles)

∠A+∠B+∠C=180° (angle sum property)

∠A+60°+60°=180

∠A+120°      =180

∠A               =180-120°

∠A               =60°

∠x               =60°

In the diagram two,

∠B=∠BAD=∠y= 56°(alternate interior angles)

∠B=∠BAC (Isosceles triangle's base angles are equal)

∠A+∠B+∠C=180° (angle sum property)

∠A+56°+56°=180

∠A+112°      =180

∠A               =180-112°    

∠A               =68°

∠x               =68°