Answer:
Option (3) and Option (5)
Step-by-step explanation:
By the property of a triangle,
Sum of interior angles of a triangle is 180°.
m∠Q + m∠R + m∠S = 180°
By substituting the measures of angles in the equation,
(8x - 17)° + (19x + 4)° + (5x + 1)° = 180°
32x - 12 = 180
32x = 192
x = 6
m∠Q = (8x - 17)° = 48 - 17
= 31°
m∠R = (19x + 4)° = 114 + 4
= 118°
m∠S = (5x + 1) = 30 + 1
= 31°
Since, one interior angle measures 118° which is grater than 90°.
Therefore, triangle QRS is an obtuse triangle.
Since, m∠Q = m∠R = 31°
It's an isosceles triangle.
Option (3) and Option (5) are the correct options.
