Question

in a triangle rst r=80 and s=t find the measure of each of the equal angles of the triangle​

Answer 1

Answer:

Measure of each equal angles = 50°

Step-by-step explanation:

∵We know that sum of all interior angles of a triangle = 180.

Given that ∠R = 80°

and ∠S  = ∠T.

Let ∠S = ∠T = x°

∵∠S +∠R +∠T = 180°   [∵ Sum of all interior angles of a triangle = 180°]

⇒ x° + 80° + x° = 180°

⇒ 2x° = 180° - 80°

⇒ 2x° = 100°

⇒ x° = 100°/2

⇒ x° = 50°

∴ Measure of each of the equal angles of the triangle is 50°

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Answer 2

Equal angles consider =x so through angle sum property 80 +x+x=180 therefore x=50