Question

In a right angle triangle, ratio of other two angles is 4: 5. Find the measurement of other two angles.

Answer 1

In right angle triangle,
Ratio of other two angles is 4: 5.
Let x is the common multiple of the angle.
So, the measurement of other two angles are 4x and 5x.
In right angle triangle, sum to other two angle is ${90}^{\circ }.$
$\therefore 4x+5x={90}^{\circ }$
$9x={90}^{\circ }$
$x=\frac{{90}^{\circ }}{9}$
$x={10}^{\circ }$
Therefore, measurement of other two angles are $4x=4\times 10={40}^{\circ }and5x=5\times 10={50}^{\circ }$.