Given that arc GF has a measure of 108°, what is the measure of angle G?

Image of the circle is attached.

Measure of angle G = 36°

Step-by-step explanation:

From the question, we are told the arc GF has a measure of 108°, i.e

m∠GF = 108°

From the circle, we can see a part of the circumference of the circle is the arc length (curve from point G to point F).

The arc length can be said to be the measure of the distance between two points along the section of a curved line which makes up an arc.

The arc length is expressed as:

A = r x Θ

Where,

A = length of arc

r = radius

Θ = arc

The measure of the central angle intercepting an arc is equal to the degree measure of the arc.

Here, the degree measure of the arc is 108° since it is equal to the central angle, E, the measure of angle E is 108°. ie m∠E = 108°

We know the total sum of angles of a triangle is 180°.

Therefore,

m∠E + m∠F + m∠G = 180°

108° + m∠F + m∠G = 180°

m∠F + m∠G = 180° - 108°

m∠F + m∠G = 72°

From the diagram we could see that F and G are parallel to each other, which means they have equal angles. Therefore, m∠F = m∠G.

Since they are equal,

m∠G =

m∠G = 36°

Measure of angle G = 36°

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation:

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.