An angle is measured with a protractor.
One ray of the angle is at [tex]26^{\circ}[/tex] and the other ray is at [tex]121^{\circ}[/tex].
What is the measure of the angle?

A. [tex]26^{\circ}[/tex]
B. [tex]147^{\circ}[/tex]
C. [tex]95^{\circ}[/tex]
D. [tex]121^{\circ}[/tex]



Answer :

To determine the measure of the angle formed by two rays on a protractor, follow these steps:

1. Identify the positions of the two rays on the protractor. One ray is positioned at [tex]\(26^\circ\)[/tex] and the other is positioned at [tex]\(121^\circ\)[/tex].

2. Calculate the difference between the two measurements. Specifically, subtract the smaller angle (26°) from the larger angle (121°):

[tex]\[ 121^\circ - 26^\circ = 95^\circ \][/tex]

3. The result from this subtraction gives us the measure of the angle between the two rays.

Therefore, the measure of the angle is [tex]\(95^\circ\)[/tex].

The answer is [tex]\( \boxed{95^\circ} \)[/tex].