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15 votes
15 votes
I need help for numbers 5 and 6

I need help for numbers 5 and 6-example-1
User James Van Boxtel
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1 Answer

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16 votes

Answer:

Below in bold,

Explanation:

5.

m < JIK = the sum of the measure of the other 2 angles so we have:

140 - 6x = 20x - 10 + 8x - 20

140 + 10 + 20 = 20x + 6x + 8x

170 = 34x

x = 5.

m < JIL = 20(5) - 10 = 90 degrees.

m < LIK = 8(5) - 20 = 20 degrees.

m < JIK = 140 -5(5) = 110 degrees.

6. 5x = 8x - 4 (as QB is the bisector of < AQC.

Solve for x then substitute the value of x as in question 5.

User Zbestzeus
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