Question

The difference between two acute angles of a
7pie/30
right angled triangle is
.Find the angles of
the triangle in degree.
​

Answer 1

Answer:

24° , 66° & 90°

Step-by-step explanation:

Let the angles of the triangle are a, b, c

=> a + b + c = 180°

Given, triangle is right angled

so, let angle c = 90°

=> a + b + 90° = 180°

=> a + b = 180° - 90°

=> a + b = 90° ------------ (1)

given, the difference between two acute angles of a right angled triangle is 7π / 30

=> b - a = 7π / 30

=> b - a = 42° ------ (2)

solving (1) & (2) , we get

a = 24° & b = 66°

.•. the required angles are 24° , 66° & 90°