Question

the symbol below is an equal sign with a slash through it. It is used to represent not equal in math, as in 1 is not equal to 2. If angle 1 = 108 degrees, classify the relationship between angle 1 and angle 2. Then find angle 2. Assume the equal sign consists of parallel lines.

Answer 1

They are corners by offset. The second angle is 0 degree

Answer 2

Relationship between angle 1  2 is represented with not equal symbol and measure of angle 2 is 72 degrees.

What is inequality sign of "not equal"?

The inequality sign is the symbol, which is used, when the two numbers or expression are not equal. The sign of inequality is (≠). This cross line over the equal sign suggests that, the equations are not equal.

For example, it is known that the number 5 is not equal to the number 10. So using the not equal sign, this two number can be expressed as,

$5\neq10$

The measure of angle 1 is 108. Let this angle, is an angle on a straight line shown below. As this angle is more than the angle 90. Thus, this angle should be greater than angle two.

This inequality relationship can be shown as,

$m\angle1\neq m\angle2$

As, the sum of angles made on a straight line is equal to 180 degrees. Thus,

$m\angle1+m\angle2=180\\108+m\angle2=180\\m\angle2=180-108\\m\angle2=72^o$

Thus, the measure of the angle 2 is 72 degrees.

Hence, the relationship between angle 1 and angle 2 is represented with not equal symbol and measure of angle 2 is 72 degrees.

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