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Darina [25.2K]
3 years ago
9

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.

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

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°

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