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Find mZCDE if mZCDL = 98º and mZLDE = 65°
a) 17°
b) 33°
c) 65°
d) 98°

1 Answer

6 votes

Final answer:

To find mZCDE, we first find mZCD and mZDE. Using the given values, we determine that mZCDE is 16°.

Step-by-step explanation:

To find the measure of angle ZCDE, we need to find the measure of angle ZCD and angle ZDE first.

Given that mZCDL = 98°, we can conclude that mZCD = 98° as angle L is adjacent to angle CD. Similarly, mZLDE = 65° as angle L is adjacent to angle DE.

Since angles CZD and EZD are supplementary angles (they add up to 180°), we can set up the equation: mZCD + mZDE = 180°.

Substituting the given values, we have 98° + mZDE = 180°. Solving for mZDE, we get mZDE = 180° - 98° = 82°.

Finally, to find mZCDE, we subtract the measure of angle ZDE from the measure of angle ZCD: mZCDE = mZCD - mZDE = 98° - 82° = 16°.

Therefore, the measure of angle ZCDE is 16°, which is not listed as one of the answer choices. None of the options provided (a) 17°, (b) 33°, (c) 65°, (d) 98°) matches the correct answer.

User Zhao Samanta
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