Question

Find angle m∠EGK in this triangle.

Answer 1

The measure of the angle <EGK is 23 degrees

To determine the measure of the angle, we need to take note of the following;

• The sum of the angles in a triangle is 180 degrees
• There are three sides in a triangle
• There are three angles in a triangle
• vertically opposite angles are equal

Now, from the diagram shown, we have that;

<EGK + 90 + 67 = 180

collect the like terms, we get;

<EGK = 180 - 157

subtract the values

<EGK = 23 degrees