Step-by-step explanation:
To find the measure of the third angle in a triangle, we need to know that the sum of all angles in a triangle is always 180 degrees.
Let's calculate the measure of the third angle:
Given:
First angle = 102 degrees
Second angle = 67 degrees
To find the measure of the third angle, we subtract the sum of the first two angles from 180 degrees:
Third angle = 180 degrees - (First angle + Second angle)
Third angle = 180 degrees - (102 degrees + 67 degrees)
Third angle = 180 degrees - 169 degrees
Third angle = 11 degrees
Therefore, the measure of the third angle in the triangle is 11 degrees.
