High School

What is the value of \( z \)?

A triangle with angle measures of 62 degrees and 95 degrees. The third angle has an unknown measure, \( z \) degrees.

Answer :

A+B+C = 180

62+95+Z = 180

157 + Z = 180

Z = 23

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.