Question

The support of a wood table are in the shape of a right triangle. Find the third angle of the triangle of the measure of one of the angles is 23

Answer 1

The measure of third angle of triangle is 67 degrees

Solution:

Given that,

The support of a wood table are in the shape of a right triangle

Since it is a right angle, one of the angle must be $90^{\circ}$

The measure of one of the angles is 23 degrees

To find: third angle angle

We know that,

Sum of all angles in triangle equals 180 degrees

Therefore,

$90^{\circ} + 23^{\circ} + \text{ third angle } = 180^{\circ}\\\\ \text{ third angle } + 113 = 180\\\\ \text{ third angle } = 180 - 113\\\\ \text{ third angle } = 67^{\circ}$

Thus measure of third angle of triangle is 67 degrees