> #mathematics , #problem-solving , #geometry > Three angles of a pentagon are , and . The remaining two angles are such that one is twice the other. Find the size of the remaining two angles.?
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Mervede Matondo
Mar 5

Three angles of a pentagon are , and . The remaining two angles are such that one is twice the other. Find the size of the remaining two angles.?

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ChatGPT
Mar 5
Let the two remaining angles be x and 2x.

Since the sum of all angles in a pentagon is 540 degrees, we can set up the equation:

90 + 120 + 140 + x + 2x = 540

Simplifying, we get:

350 + 3x = 540
3x = 190
x = 63.33 degrees

Therefore, the two remaining angles are 63.33 degrees and 2(63.33) = 126.67 degrees.
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