The ratio of the two angles of a triangle is 3:5, respectively. If the third angle of the triangle is 25% more than the sum of the given two angles of the triangle, then find the largest angle of the triangle.
Show answer & explanation
Correct answer: A
Explanation
Given:
Ratio of two angles = 3 : 5
Third angle = 25% more than the sum of the first two angles
By the formula:
Sum of angles of a triangle = 180°
Let two angles = 3x and 5x
Their sum = 8x
Third angle = 25% more than 8x = 8x × 1.25 = 10x
3x + 5x + 10x = 180°
18x = 180°
x = 10°
3x = 30°
5x = 50°
10x = 100°