Find the measure of each angle in triangle ABC. Triangle ABC has angles labeled as follows: A = (x minus 26) degrees, B = (2x minus 227) degrees, C = (one half x plus 13) degrees

A triangle is a three-sided polygon with 3 edges, angles, and vertices

Answer: The measure of each angle of triangle ABC with A = (x minus 26) degrees, B = (2x minus 227) degrees, C = (one half x plus 13) degrees is 94°,13° and 73°

The Sum of interior angles of a triangle is 180°

Explanation:

Given: ∠A = (x−26)° , ∠B = (2x−227)° , ∠C = (x/2 +13)°

We know that,

Sum of interior angles of a triangle is 180°

Hence,

∠A + ∠B + ∠C = 180°

⇒ (x−26) + (2x−227) + (x/2 +13) = 180

⇒ 3.5x - 240 = 180

⇒ 3.5x = 420

⇒ x = 120

So, ∠A = 120 - 26 = 94°

∠B = 2 × 120 - 227 = 13°

∠C = (120/2 ) + 13 = 73°