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What is m∠CDJ ? Enter your answer in the box. ° Line A K and line M J intersect at a right angle at point D. Line L C also passes through point D, forming angle A D C and angle J D C. Angle A D C measures four x degrees, and angle J D C measures three x minus eight degrees.

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tibigtd

I think the answer is 34 tell me if i'm wrong I would love to see my mistakes hope this help plz leave a brainist

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Answer:

∠CDJ = 34°.

Step-by-step explanation:

In this question AK and MJ intersect at 90°.

∠ADC = 4x° and ∠JDC = (3x - 8)°

We have to find the measurement of ∠CDJ.

Since ∠MDA = ∠KDJ = ∠ADJ = ∠MDK = 90°

Therefore ∠ADJ = ∠ADC + ∠JDC = 90°

4x + 3x - 8 = 90

7x - 8 = 90

7x = 98

x = 98/7 = 14

Therefore m∠CDJ = 3x - 8 = 3×14 - 8 = 42 - 8 = 34°

Answer is m∠CDJ = 34°

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