Classify the requested angles shown in the figure where $\boldsymbol { \ell } _ { 1 }$ and $\boldsymbol { e } _ { 2 }$ are parallel. $\angle 10$ if $m \angle 11$ is $90 ^ { \circ }$
A) right
B) complementary
C) acute
D) obtuse
E) straight

Question

Classify the requested angles shown in the figure where $\boldsymbol { \ell } _ { 1 }$ and $\boldsymbol { e } _ { 2 }$ are parallel.  $\angle 10$ if $m \angle 11$ is $90 ^ { \circ }$
A) right 
B) complementary 
C) acute 
D) obtuse 
E) straight

Quizplus · Accepted Answer

Since $\overline{10}$ intersects the parallel lines $\ell_1$ and $\ell_2$, we know that alternate interior angles $\angle 1$ and $\angle 10$ are congruent, and hence $\angle 1$ is also a right angle. Thus, $\angle 10$ is adjacent to a right angle $\angle 11$, making it a right angle as well.

Classify the Requested Angles Shown in the Figure Where ℓ1\boldsymbol { \ell } _ { 1 }ℓ1​

Classify the Requested Angles Shown in the Figure Where $\boldsymbol { \ell } _ { 1 }$