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lord [1]
3 years ago
11

The sum of the measures of the angles is 180. The sum of the measures of the second and third angles is two times the measure of

the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Mathematics
1 answer:
grigory [225]3 years ago
3 0
<h2>60,47,73</h2>

Step-by-step explanation:

Let the first angle be a degrees

Let the second angle be b degrees

Let the third angle be c degrees

It is given that sum of angles is 180 degrees.

so,a+b+c=180                      ...(i)

It is given that sum of the measures of the second and third angles is two times the measure of the first angle.

b+c=2\times a                     ...(ii)

It is given that the third angle is 26 more than the second.

c=26+b                                ...(iii)

using (ii) and (iii),

b+b+26=2a

b+13=a

using (i),(ii) and (iii),

a+b+c=a+a-13+26+b=a+a-13+26+a-13=3a

3a=180

a=60

b=a-13=60-13=47

c=26+b=26+47=73

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