Answer:
m∠A = 106°
Step-by-step explanation:
All three sides of the triangle are given in the question.
To find the measure of included angle A between two sides we will apply cosine formula,
BC²= AB² + AC² - 2(AB)(AC)cosA
(13)² = (10)² + (6)² - 2(10)(6)cosA
169 = 100 + 36 - 120cosA
cosA = 
cosA = -0.275
A = 
A = 105.96°
A ≈ 106°
Therefore, m∠A = 106° will be the answer.
Answer:
12°, 78°, 90°
Step-by-step explanation:
let the third angle be x then the second angle is 7x - 6
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 7x - 6 + 90 = 180, that is
8x + 84 = 180 ( subtract 84 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Thus second angle = 12° and third = 7(12) - 6 = 84 - 6 = 78°
The 3 angles are 12°, 78° and 90°