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 passe
s 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.
2 answers:
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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