Question

# Two angles of a triangle are in the ratio (23:32) and the third angle is 50∘. The two angles are:30∘,95∘45∘,85∘30∘,100∘40∘,90∘

Solution

## The correct option is D 40∘,90∘Let the two angles of the triangle be 23x and 32x ⇒23x+32x+50∘=180∘ ⇒4x+9x6=130∘ ⇒13x=130∘×6 ⇒x=780∘13=60∘. Now,23×60=40∘ and 32×60=90∘. Hence, the required angles are 40∘,90∘.

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