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3 years ago

2) Find the angle measures of a triangle if the first angle is thirty-one degrees more than

Mathematics

1 answer:

Charra [1.4K]3 years ago

4 0

Answer:

4x+88=180

First angle is 54°

Second angle is 23°

Third angle is 103°

Step-by-step explanation:

Let x be the second angle. First angle is 31+x. Third angle is 2*(31+x)-5 = 62+2x-5 = 2x+57

All angles in a triangle add upto 180°

31+x+x+2x+57 = 180

4x+88=180

Subtract 88 from both sides,

4x = 92

Divide by 4,

x = 23°

31+x = 54°

2x+57 = 2*23 + 57 = 46+57 = 103°

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