Find the measure of the third angle of a triangle given the measure of two angles are 86º and xº.
A- 86-x
B- 90-x
C- 94-x
D- 180-x
My answer was A. Please correct me if I am wrong.
Thank you
You are correct! The measure of the third angle in a triangle can be found by subtracting the sum of the measures of the two given angles from 180 degrees. So, if one angle is 86 degrees and the other angle is x degrees, the measure of the third angle would be:
180 - (86 + x) = 180 - 86 - x = 94 - x
Therefore, the correct answer is C) 94 - x. Well done!
To find the measure of the third angle of a triangle, you need to use the fact that the sum of the angles in a triangle is always 180 degrees.
Let's denote the measure of the third angle as yº.
According to the given information, the first angle measures 86º, the second angle measures xº, and the sum of all three angles is 180º. We can set up the following equation:
86º + xº + yº = 180º
To find the measure of the third angle (yº), we can rearrange the equation:
yº = 180º - 86º - xº
Simplifying this equation, we get:
yº = 94º - xº
So, the correct answer is C- 94-x.
86o + Xo + Yo = 180o.
Yo = 180-86-X = 94-X.