Question

The sum of two angles of a triangle is 85degree and their difference is 25degree find all three angles of triangle

Answer 1

Let the Two angles be: x and y (x>y)

Given:
x+y=85
x-y=25

Adding these eq:

→ 2x=110
→x=55°

and y=30°

Now using angle sum prpty of Triangle.

we get The third angle to be (180-85)=95°

Answer 2

angle A+angleB=85
A-B=25
A=25+B

A+B=85
25+B+B=85
2B=85-25
B=60/2=30
A=25+B=25+30=55
angle A+B+C=180(angle sum property)
55+30+C=180
C=180-85=95
therefore all three angles are 30,95,55