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Answer:
α= 22°
β= 100°
Y= 50°
Step-by-step explanation:
Given are three different triangles,
In the first triangle, two of the angles are 38° and α° and the third angle would be 120°(using vertical opposite angle equal property).
We know sum of all three angles of a triangle °
Substituting,
Similarly,
In the second triangle, two of the angles are 40° and 60° and the the angle we have to find is outside(β).
We know the outside angle is equal to the sum of opposite inside angles of a triangle.
Therefore,
β
In third triangle,'Y' is inside angle of the triangle and 70° and 160° are outside.
° makes linear pair,
sum of linear pair angles= °
Therefore the angle of triangle next to ° would be
°
We see 'Y' is outside and opposite to both the inside angles . thus applying the property,
°
Therefore 'Y' =