Question

error analysis dexter needs to find each angle in this figure that is adjacent to ∠noq. he incorrectly claims that only ∠poq is adjacent to ∠noq. find each angle that is adjacent to ∠noq. why is dexter’s claim incorrect? select each angle that is adjacent to ∠noq. a. ∠por b. ∠moq c. ∠qor d. ∠mon e. ∠nor f. ∠mor g. ∠poq h. ∠nop

Explanation:

Adjacent angles share a common vertex and side, have no overlapping interior, and form a larger angle together. For $\angle NOQ$:

1. $\angle POQ$ shares side $OQ$ and vertex $O$ with $\angle NOQ$, forming $\angle NOP$.
2. $\angle NOP$ shares side $ON$ and vertex $O$ with $\angle NOQ$, forming $\angle POQ$.
3. Dexter's claim is incorrect because he missed $\angle NOP$, which also meets the criteria for being adjacent to $\angle NOQ$.

Answer:

G. $\angle POQ$
H. $\angle NOP$

Dexter's claim is incorrect because there is a second angle ($\angle NOP$) adjacent to $\angle NOQ$ that he failed to identify.