Question

One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the

Answer 1

Answer:

$102\textdegree$

Step-by-step explanation:

If we let the measure of the smallest angle be $x$, then we know that the measure of the angle that is three times as large as it is $3*x=3x$ and the measure of the angle that is $10\textdegree$ larger than it is $x+10$.

Because the sum of the measures of the interior angles in a triangle is $180\textdegree$, we can write the following equation to solve for $x$:

$x+3x+x+10=180$

Solving for $x$, we get:

$x+3x+x+10=180$

$5x+10=180$ (Combine like terms)

$5x=170$ (Subtract $10$ from both sides of the equation to isolate $x$, Simplify)

$x=34\textdegree$

Therefore, the measures of the other angles are $3x = 3 * 34=102\textdegree$ and $34+10=44\textdegree$. Since $102>44>34$, the measure of the largest angle will be $\bf102\textdegree$. Hope this helps!