Question

the angles of triangle are (x+5),(x+15) and (2x-30)​

Answer 1

Answer:

52.5, 62.5, 65

Step-by-step explanation:

The sum of all interior angles of triangle is 180 degrees.

So, angles of triangle are (x+5), (x+15) and (2x-30)

x+5+x+15+2x-30 = 180

4x = 190

x = 47.5

Therefore angles of triangle are 52.5, 62.5 and 65 degree respectively

Answer 2

Given,

$\[\left( {x + 5} \right),\left( {x + 15} \right),\left( {2x - 30} \right)\]$

Solution,

Know that the sum of angles in a triangle is $\[180^\circ \]$.

$\[\left( {x + 5} \right) + \left( {x + 15} \right) + \left( {2x - 30} \right) = 180^\circ \]$

$\[\begin{array}{l} \Rightarrow 4x - 10 = 180^\circ \\ \Rightarrow 4x = 190\\ \Rightarrow x = 47.5\end{array}\]$

Angles,

$\[\begin{array}{l}x + 5 = 47.5 + 5 = 52.5^\circ \\x + 15 = 47.5 + 15 = 62.5^\circ \\2x - 30 = 95 - 30 = 65^\circ \end{array}\]$

Hence the angles of the triangle are $\[52.5^\circ ,62.5^\circ ,65^\circ \]$