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, wh
ile the measure of angel C is 51 degrees larger than each of A and B. What are the measures of the three angles
1 answer:
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°
⇒ x + 51 = 94°
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