what is the value of x? art not to scale. o x = 23 o x = 35 o x = 58 o x = 93
what is the value of x? art not to scale. o x = 23 o x = 35 o x = 58 o x = 93
Answer
Answer:
D. $x = 93$
Explanation:
Step1: Recall exterior - angle property
The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Step2: Identify non - adjacent interior angles
In $\triangle SQR$, the non - adjacent interior angles to exterior angle $\angle PQS$ are $\angle QSR$ and $\angle QRS$. Here, $\angle QSR=35^{\circ}$ and $\angle QRS = 58^{\circ}$.
Step3: Calculate the value of $x$
By the exterior - angle property, $x=\angle QSR+\angle QRS$. So, $x = 35 + 58=93$.