Question

the supports of a wooden table are in the shape of a triangle. find the angle measures of the triangle if the measures of the angles are in the ratio 4x : 4x : 10x. list the angle measures from least to greatest.

Explanation:

Step1: Sum ratio terms

$4x + 4x + 10x = 18x$

Step2: Set equal to 180°

$18x = 180^\circ$

Step3: Solve for x

$x = \frac{180^\circ}{18} = 10^\circ$

Step4: Calculate each angle

$4x = 4\times10^\circ = 40^\circ$
$4x = 4\times10^\circ = 40^\circ$
$10x = 10\times10^\circ = 100^\circ$

Step5: Order from least to greatest

Sort the calculated angles.

Answer:

$40^\circ$, $40^\circ$, $100^\circ$