Question

In a triangle, the Sum of two angles is 118 and their difference is 32. find each angle of the triangle.

• A. 75,43 and 62
• B. 85,33 and 62
• C. 65,53 and 62
• D. none of the above

Answer 1

The correct option is A 75,43 and 62

Let the angles of the triangle be $a,b,c$
Now, $a+b+c=180$
Given, sum of two angles, $a+b=118$...(I)
Difference between two angles, $a-b=32$...(II)
Add I and II
$2a=150$
$a={75}^{\circ }$
Put $a=75$ in equation I,
$b=118-75$
$b={43}^{\circ }$
Sum of the angles of a triangle = 180
$a+b+c=180$
$75+43+c=180$
$c=180-118$
$c={62}^{\circ }$