In the triangle, one angle is 47°. The other two angles are x° and y°. Find the values of x and y.

In any triangle, the sum of the interior angles is always 18 0 ∘ . This is a basic property of triangles. Given that one of the angles in the triangle is 4 7 ∘ , we need to find the values of the other two angles, which are x ∘ and y ∘ .
Let's denote:

the first angle as 4 7 ∘
the second angle as x ∘
the third angle as y ∘

Using the property of triangles, we have:
4 7 ∘ + x ∘ + y ∘ = 18 0 ∘
To solve for x and y , we can express one in terms of the other. For example, let's solve for y in terms of x :
x ∘ + y ∘ = 18 0 ∘ − 4 7 ∘
x ∘ + y ∘ = 13 3 ∘
This means:
y ∘ = 13 3 ∘ − x ∘
Without additional information about the relationship between x and y , we can't determine unique values for x and y . The solution depends on additional conditions or information, such as whether x and y are equal, or if one is larger than the other.
Therefore, x and y can take any pair of values that satisfy the equation x + y = 133 . For instance, if x = 66. 5 ∘ , then y = 66. 5 ∘ . But this is just one example; any pair that adds up to 13 3 ∘ is a possible solution.

Answered by danjohnbrain | 2025-07-21