Question

lesson 10 - arithmetic operations with polynomials score: 48/100 answered: 6/12 question 7 the second angle of a triangle is the same as the first angle. the third angle is three times the first. find the three angles. first angle: second angle: third angle: question help: message instructor

Explanation:

Step1: Let first angle be $x$.

Let the first - angle be $x$. Since the second angle is the same as the first, the second angle is also $x$. And the third angle is three times the first, so the third angle is $3x$.

Step2: Use angle - sum property of a triangle.

The sum of the interior angles of a triangle is $180^{\circ}$. So, $x + x+3x=180$.
Combining like terms, we get $5x = 180$.

Step3: Solve for $x$.

Dividing both sides of the equation $5x = 180$ by 5, we have $x=\frac{180}{5}=36$.

Answer:

First angle: $36^{\circ}$
Second angle: $36^{\circ}$
Third angle: $108^{\circ}$