5. Two angles of a triangle are 120° and 6º. What is the measure of the third angle?O 54 degrees36 degreesO 24 degreesO 8 degrees8

Question

asked Jun 7, 2023 208k views

1 Answer

Shaneburgess · Answer 1 · 2023-06-12T11:00:26+0000

54 degrees

The sum of interior angle of a triangle is 180 degrees. Let the unknown measure be "x" such that

$\begin{gathered} x+120+6=180 \\ x+126=180 \end{gathered}$

Subtract 126 from both sides

$\begin{gathered} x+126-126=180-126 \\ x=180-126 \\ x=54^0 \end{gathered}$

Hence the measure of the third angle will be 54 degrees