sum of two angles of a triangle is 80 and the difference between them is 20 find all the angles of the angle
Answers
Answered by
0
Answer:
50 and 30
Step-by-step explanation:
50+30=80
50-30=20
Answered by
0
Answer:
80°,20°,100°
Step-by-step explanation:
let the angles be x and y.
According to the problem,
x+y=80°........(i)
x-y=20°........(ii)
Using elimination method of solving simultaneous equations.
So,
On adding (i) & (ii)
x+y=80°
+x-y=20° (+y and -y gets cancelled out on addition)
=>2x=100°
=>x=100/2=50°
therefore x=50°
Putting the value of x in (i) and solving,
50°+y=80°
=>y=80°-50°
=>y=30°
therefore y=30°
let the 3rd angle be a
so, by angle sum property: Sum of all the angles in a triangle is 180°
therefore,
x+y+a=180°
=>50°+20°+a=180°
=>80°+a=180°
=>a=180°-80°
=>a=100°
therefore a=100°
So, the angles of the triangle are: 80°,20°,100° (Ans).
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