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

Question

2 years ago

9

. Find the measure of the LARGEST angle in the triangle.
Answer: The LARGEST angle has a measure of degrees.

1 answer:

kvv77 [185] · Answer 1 · 2022-08-21T08:04:05+03:00

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°