Question

the sum of the two angles of a triangle is 80° and their difference is 20° find the measures of all angles of the triangle​

Answer 1

Answer:

Let the two angles be x and y. Then the third angle=180-80=100 degrees.

Answer 2

ANSWER

Consider a △ABC,

then according to the given condition we have:

∠A+∠B=80 °

and ∠A−∠B=20 °

⇒2∠A=100 °

⇒∠A=50 °

⇒∠B=30°

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

We have: ∠A+∠B+∠C=180°

⇒50 ° +30° +∠C=180°

⇒∠C=100°

Hence ∠A=50°

, ∠B=30°

and ∠C=100 °