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A triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 3:10. What are the measures of those two angles

User Bogatyr
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1 Answer

1 vote

Answer:

100 degrees, 30 degrees

Explanation:

Write an expression for the measures of the other two angles:

one angle = 3x

other angle = 10x

These are in the ratio 3:10, but you don't know the value of x YET!

Fact: all 3 angles sum to 180 degrees.

50 + 3x + 10x = 180

50 + 13x = 180

13x = 130

x = 10

Now plug this value into the two expressions for the angle measures.

one angle = 3(10) = 30 degrees

other angle = 10(10) = 100 degrees

User WebDrive
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