Question

Sum of two angles of a triangle is 900 and their difference is 500. Find the angles of the a and b triangle.

Answer 1

Answer:

ANSWER

Consider a △ABC,

then according to the given condition we have:

∠A+∠B=80

o

and ∠A−∠B=20

o

⇒2∠A=100

o

⇒∠A=50

o

⇒∠B=30

o

Using the sum of all the angles of the triangle is 180

o

We have: ∠A+∠B+∠C=180

o

⇒50

o

+30

o

+∠C=180

o

⇒∠C=100

o

Hence ∠A=50

o

, ∠B=30

o

and ∠C=100

o

Answer 2

Answer:

x+y=90°

x-y=50°

by adding both we get,

2x=140°

x=70°

y=20°

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