Respuesta :
the inside of a triangle HAS to equal to 180 degrees no matter the shape or size. For triangle abc since angle a is 35 degrees and b is 50, that means that c is 95 degrees. Since both triangle are similar, angle r is going to also be 95.
Answer: Measure of angle R = 95⁰.
Step-by-step explanation:
Since we have given that
△ABC is similar to △PQR,
∠A=[tex]35\textdegree[/tex]
∠B=[tex]50\textdegree[/tex]
As we know that "Sum of interior angles of a triangle is equal to [tex]180\textdegree[/tex]"
So,
[tex]\angle A+\angle B+\angle C=180\textdegree\\35\textdegree+50\textdegree+\angle C=180\textdegree\\85\textdegree+\angle C=180\textdegree\\\angle C=180\textdegree-85\textdegree\\\angle C=95\texdegree[/tex]
Since △ABC is similar to △PQR,
So,
∠A=∠P= [tex]35\textdegree[/tex]
∠B=∠Q = [tex]50\textdegree[/tex]
∠C=∠R=[tex]95\texdegree[/tex]
Hence, Measure of angle R = 95⁰.
