Question

Two angles of a triangle have the same measure and the third one is 18 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
Answer: The LARGEST angle has a measure of degrees.

Answer 1

Answer:

72°

Step-by-step explanation:

Let the 2 equal angles be x then the third angle is x + 18

The sum of the 3 angles in a triangle = 180°, thus

x + x + x + 18 = 180, that is

3x + 18 = 180 ( subtract 18 from both sides )

3x = 162 ( divide both sides by 3 )

x = 54

Hence

the largest angle = x + 18 = 54 + 18 = 72°