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.

∠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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step-by-step explanation: