One angle of a triangle measures 16∘ more than the smallest, while a third angle is twice the smallest. find the measure of each angle.

Smallest angle: 41°

Second angle: 57°

Third angle: 82°

Step-by-step explanation:

Let's call the smallest angle as

"while a third angle is twice the smallest": third angle is

"One angle of a triangle measures 16∘ more than the smallest": 2nd angle is

We know sum of 3 angles in a triangle is 180 degrees, so we can set up the equation and solve for x:

So smallest angle is 41°

The 2nd angle is 16+41=57°

third angle is 2*41=82°

Step-by-step explanation:

Givens

Solution

q: 92 degrees

hope i ^-^

explanation:

remove parenthesis:

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apply rule

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multiply fractions:

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divide:

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mordancy.