Question

A right triangle has one 28° and one 90°. What is the measurement of the third angle?

Answer 1

The third measurement is 62°

Explanation:

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Euclidean Triangle

The theorem regarding it states that, sum of all 3 interior angles must equal to 180°.

That means, we will have this equation:

`\displaystyle \large{28^(\circ) + 90^(\circ) + x=180^(\circ)}` because we know two interior angles and one missing angle - sum of them equals to 180 degrees.

Then we solve for x-term to find the third measurement!

`\displaystyle \large{118^(\circ)+x=180^(\circ)}`

Subtract both sides by 118 degrees.

`\displaystyle \large{118^(\circ)-118^(\circ)+x=180^(\circ)-118^(\circ)}\\\\\displaystyle \large{x=62^(\circ)}`

Henceforth, the third measurement is 62°