Question

VA ROG!!
Determinati masurile unghiurile triunghiurilor din figurile urmatoare:
​

Answer 1

Explicație pas cu pas:

a)

$3x - 10 + 3x + x + 28 = 180 \\ 7x + 18 = 180 \\ 7x = 162 = > x = \frac{162}{7}$

$\hat A = 3 \times \frac{162}{7} - 10 = \frac{416}{7} \approx59.5\degree$

$\hat B = 3 \times \frac{162}{7} = \frac{486}{7} \approx 69.5\degree$

$\hat C = \frac{162}{7} + 28 = \frac{358}{7} \approx51 \degree$

b)

$x + 40 + 2x - 15 + x - 3 = 180 \\ 4x + 22 = 180 < = > 4x = 158 \\ = > x =39.5$

$\hat A = 39.5 + 40 = 79.5 \degree$

$\hat B = 2 \times 39.5 - 15 = 79 - 15 = 64 \degree$

$\hat C = 39.5 - 3 = 36.5 \degree$

c)

$x - 1 + 3x - 3 + 2x - 2 = 180 \\ 6x - 6 = 180 < = > 6x = 180 + 6 \\ 6x = 186 = > x = 31$

$\hat A = 31 - 1 = 30\degree$

$\hat B = 3 \cdot 31 - 3 = 93 - 3 = 90\degree$

$\hat C = 2 \cdot 31 - 2 = 62 - 2 = 60\degree$