Answer:
x = 3
y = 30
Explanation:
The dashes on the sides of the given triangle mean that the side lengths are of equal measure. Therefore, the triangle is an equilateral triangle.
The interior angles of a triangle sum to 180°.
As the interior angles of an equilateral triangle are congruent, each interior angle is 60° (since 3 × 60° = 180°).
Therefore, to find x, set the expression given for angle B to 60° and solve for x:
⇒ (25x - 15)° = 60°
⇒ 25x - 15 = 60
⇒ 25x - 15 + 15 = 60 + 15
⇒ 25x = 75
⇒ 25x ÷ 25 = 75 ÷ 25
⇒ x = 3
Therefore, to find y, set the expression given for angle A to 60° and solve for y:
⇒ (2y)° = 60°
⇒ 2y = 60
⇒ 2y ÷ 2 = 60 ÷ 2
⇒ y = 30