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Answered

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One angle of a triangle is three times larger as another. the measure of the third angle is 50 degrees more than that of the smallest angle. Find the measure of each angle.

Sagot :

lublana

Answer:

Smallest angle of triangle=26 degrees

Second angle of triangle =78 degrees

Third angle of triangle =76 degrees

Step-by-step explanation:

Let x be the smallest angle of triangle

Second angle of triangle=3x

Third angle of triangle=x+50

We know that

Sum of angles of triangle=180 degrees

Using the property

[tex]x+3x+x+50=180[/tex]

[tex]5x=180-50[/tex]

[tex]5x=130[/tex]

[tex]x=\frac{130}{5}[/tex]

[tex]x=26[/tex] degree

Smallest angle of triangle=26 degrees

Second angle of triangle =3(26)=78 degrees

Third angle of triangle =26+50=76 degrees

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