Question

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

Answer 1

Answer:

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

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

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

Step-by-step 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: $60^\circ,60^\circ and 60^\circ$