Question

17.If ∆ ABC ∆PQR and ∠ A =60⁰

and ∠ B=70⁰ then what is the measure of ∠R?​

Answer 1

Answer:

Step-by-step explanation:

In △PQR using angle sum property of triangle.

∠P+∠Q+∠R=180  ∘

∠P+50  ∘  +70  ∘  =180  ∘

 ⇒∠P=180  ∘  −120  ∘  

=60  ∘

Now △PQR∼△XYZ

As corresponding angles of similar triangles are equal.

⇒∠X=∠P=60  ∘   and ∠Y=∠Q=50  ∘

⇒∠X+∠Y=60  ∘  +50  ∘  =110  ∘