Question

Which set of angle measures can be used to construct an acute scalene triangle?

Answer 1

Answer:

d) 46° 57°, 67°

Step-by-step explanation:

Acute scalene triangle : A triangle in which all three angles less than 90° and  all three angles are different measurements.

a)36º , 57º , 870º

Since one angle is more than 90º

So, It is not an acute scalene triangle.

b)46°, 67°, 67°

Since all three angles less than 90° but all three angles are not different measurements.

So, It is not an acute scalene triangle.

c) 369°, 479° , 970 °

Since all angles are more than 90º

So, It is not an acute scalene triangle.

d) 46° 57°, 67°

Since all three angles less than 90° and  all three angles are different measurements.

So, It is an acute scalene triangle.

So, Option d is set of angle measures can be used to construct an acute scalene triangle