answer the this question
Answers
Explanation with answer:
Given:
ABC is a triangle
AB = AC
∠A = 40° (given in figure)
• In an isosceles triangle, the base angles are equal.
∠A = 40°
So,
Base angles are ∠B and ∠C
· According to the angle sum property of trianle, sum of all angles in a triangle = 180°
Let one base angle be 'a'
Since base angles in an isosceles triangle,
So,
the other base angle is also = 'a'
According to angle sum property of triangle,
40° + a + a = 180°
2a = 140°
a = 70°
Hence, both base angles = 70°
Now,
To find 'x' and 'y', we shall use the "Linear Pair Axiom"
It means that the sum of angles lying on the same ray = 180°
So,
According to linear pair axiom,
a = 70°, and 'x', lie on the same ray...
So,
70 + x = 180
x = 110°
Now,
Since, base angles are equal,
therefore,
y = 110°
∴ x = 110° and y = 110°