Answer :
To find the measure of the third angle in a triangle (z), knowing the sum of angles in a triangle is 180 degrees, subtract the sum of the two known angles from 180. The third angle, z, is 23 degrees.
The student is asking for the measure of the third angle in a triangle, given that the other two angles are sixty-two degrees and ninety-five degrees. To find the measure of the third angle, we use the fact that the sum of the interior angles of a triangle is always one hundred and eighty degrees. We can write an equation:
62 + 95 + z = 180
Adding the given angles:
157 + z = 180
Subtracting 157 from both sides of the equation, we get:
z = 180 - 157
z = 23
Therefore, the value of the third angle, z, is 23 degrees.
