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Luba_88 [7]
3 years ago
15

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

Mathematics
1 answer:
ioda3 years ago
6 0

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

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