Question

Match the set of two interior angle measurements with the third interior angle measurement that can make a triangle.

40°, 50°


131°


60°


249, 250


90°


42°, 66°


72°


60°, 60°

Answer 1

the answers are provided in the picture:

Answer 2

`40^\circ,50^\circ$ and 90^\circ`

`42^\circ,66^\circ$ and 72^\circ`

`60^\circ,60^\circ$ and 60^\circ`

Explanation:

The sum of angles in a triangle is 180 degrees

(a)Given the angles 40° and 50°

The third angle is, therefore:
`180^\circ-(40^\circ+50^\circ)=90^\circ`

We, therefore, have the set:
`40^\circ,50^\circ$ and 90^\circ`

(b)Given the angles 42° and 66°

The third angle is, therefore:
`180^\circ-(42^\circ+66^\circ)=72^\circ`

We, therefore, have the set:
`42^\circ,66^\circ$ and 72^\circ`

(c)Given the angles 60° and 60°

The third angle is, therefore:
`180^\circ-(60^\circ+60^\circ)=60^\circ`

We, therefore, have the set:
`60^\circ,60^\circ$ and 60^\circ`