Question

The angles of the triangle are in the ratio 5: 3 :4 Find the measure of each angle​

Answer 1

Answer:

according to sum of the angles of triangle=180°

ratio=5x:3x:4x

total=12x

now 5x=180/12×5=75°

3x=180/12×3=45°

4x=180/12×4=60°

Check=75+45+60=180°

please mark as brainliest

Answer 2

Answer

In the given question, we are given with the ratio of all the three angles of a triangle. The given ratio is 5:3:4. We are asked to find out the measurement of each angle of the triangle.

To find the answer of this question, we use a property called as the angle sum property of a triangle. This property says that, all the angles in a triangle measures 180° altogether.

$\sf \dashrightarrow {Angle \: sum \: property}_{(Triangle)} = {180}^{\circ}$

$\sf \dashrightarrow 5 : 3 : 4 = {180}^{\circ}$

$\sf \dashrightarrow 5x + 3x + 4x = {180}^{\circ}$

$\sf \dashrightarrow 8x + 4x = 180$

$\sf \dashrightarrow 12x = 180$

$\sf \dashrightarrow x = \dfrac{180}{12}$

$\sf \dashrightarrow x = 15$

Now, we can find the values of each angles.

Value of first angle :

$\sf \dashrightarrow 5x = 5(15)$

$\sf \dashrightarrow {75}^{\circ}$

Value of second angle :

$\sf \dashrightarrow 3x = 3(15)$

$\sf \dashrightarrow {45}^{\circ}$

Value of third angle :

$\sf \dashrightarrow 4x = 4(15)$

$\sf \dashrightarrow {60}^{\circ}$

Hence, the angles of the triangle are 75, 45 and 60 degree.