Question

Triangle QRS has the angle measures shown.

m∠Q = (1x)°
m∠R = (3x)°
m∠S = (6x)°

The measure of the obtuse angle equals?

Answer 1

108 degrees

Explanation:

Answer 2

we know that the sum of measures of angles of a triangle is equal 180 degrees

in this case we can writing 180 = m<Q +m<R + m<S so

180 = 1x + 3x +6x

180 = 10x

x = 18

in this way we can calcule that the measure of obtuse angle
m<S = (6x)° = 6*18 = 108 degrees