Question

Triangle GHJ is equilateral. The measure of angle age is 2X +4 find the value of X

Answer 1

Remember that

An equilateral triangle has three equal sides and three equal interior angles

The measure of each interior angle is 60 degrees

so

In this problem

If the given angle (2x+4) is the measure of an interior angle

then

2x+4=60

2x=60-4

2x=56

x=28

If the given angle (2x+4) is the measure of an exterior angle

then

2x+4=120

2x=120-4

2x=116

x=58