Question

if the measure of two external angle of a triangle are 60 degree and 130 degree respectively then which type of triangle is​

Answer 1

answer : obtuse angled triangle.

given, The measure of two external angles of a triangle are 60° and 130° respectively.

we know for triangle,

internal angle + external angle = 180°

⇒internal angle + 60° = 180°

⇒internal angle = 120°

similarly, 2nd internal angle = 180° - 130° = 50°

we know, sum of angles of triangle is 180°

so, 120° + 50° + third angle = 180°

⇒third angle = 180° - 170° = 10°

hence angles are ; 120° , 50° , 10°

here it is clear that one angle is more than 90° so, it is obtuse angled triangle.