The angles of a triangle are such that one angle is 130 more than the smallest angle, while the third angle is 3 times as large as the smallest angle. Find the measures of all three angles

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the smallest angle

z ----> the measure of the third angle

we know that

The sum of the measure of the interior angles in any triangle must be equal to 180 degrees

-----> equation A

one angle is 130 degrees more than the smallest angle

----> equation B

the third angle is 3 times as large as the smallest angle

---> equation C

substitute equation B and equation C in equation A

solve for y

Find the value of x

Find the value of z

therefore

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step-by-step explanation: