The measure of two angles of a triangle are 35* and 45*. What is the measure of the third angle of the triangle?
A. 95*
B. 100*
C. 105
D. 110*
the three angles add up to 180, so that makes it easy, right?
The is 100*
However, will the angles always add up the 180*
yes. That is a property of all triangles.
It's easy to prove just with the theorem that alternate interior angles between two parallel lines are equal.
The very fact that you were asked this question indicates that you should have learned that fact about triangles. There's no way to answer the question without knowing it.
I see. I am now returning back to school after years. I just could not remember how to solve this.
Thank you very much
Good for you brother! Stay in school!
To find the measure of the third angle of a triangle, we need to know that the sum of all three angles in a triangle is 180 degrees.
In this case, we are given that two angles of the triangle are 35 degrees and 45 degrees. To find the measure of the third angle, we can subtract the sum of the given angles from 180 degrees.
So, the measure of the third angle = 180 degrees - (35 degrees + 45 degrees)
= 180 degrees - 80 degrees
= 100 degrees
Therefore, the measure of the third angle of the triangle is 100 degrees.
The correct answer is B. 100*.