Question

2. Calculate the missing angle: 75 50° a)​

Answer 1

Answer:

The missing angle is 55°.

Step-by-step explanation:

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The three interior angles of a triangle add up to 180°.

This means that:

$x\textdegree + 75\textdegree+50\textdegree=180\textdegree\\\rule{150}{0.5}\\x - \text{unknown angle}$

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Using the equation above, we would solve for x.

$x\textdegree + 75\textdegree+50\textdegree=180\textdegree\\\rule{150}{0.5}\\x\textdegree + 75\textdegree+50\textdegree=180\textdegree\\\\x\textdegree + 125\textdegree=180\textdegree\\\\x\textdegree + 125\textdegree-125\textdegree=180\textdegree - 125\textdegree\\\\\boxed{x = 55\textdegree}$

The missing angle should be 55°.

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Hope this helps.