The sum of the measures of that angles of any triangle is 180 degrees. In triangle ABC, angels A and B have the same measure, while the measure of angel C is 51 degrees larger than each of A and B. What are the measures of the three angles

The measure of the angles A, B and C are 43°, 43° and 94° respectively.

Step-by-step explanation:

Step 1: From the given details, form equations. Let ∠A and ∠B be x°.

⇒ ∠C = 51° + x°

Step 2: Sum of angles of a triangle is 180°

⇒ ∠A + ∠B + ∠C = 180°

⇒ x + x + 51 + x = 180

⇒ 3x + 51 = 180

⇒ 3x = 129

⇒ x = 43°

Step 3: Calculate ∠C.

⇒ x + 51 = 94°