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Moritz Both asked Jun 3, 2023

469,565 views

24 votes

What is the answer to this?

Mathematics
high-school

Moritz Both asked Jun 3, 2023

by Moritz Both

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1 Answer

19 votes

Answer:

D) x = 20

Explanation:

It's given that angle <AOD is equal to 100 degrees.
Therefore, according to the angle addition postulate, <AOB + <BOC + <COD = 100 degrees, as they all make out angle <AOD.

$3x - 15 + x - 5 + 2x = 100 \\\to 6x - 20 = 100 \\\to 6x = 120 \\\to x = 20$