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true converses? 211° 67° (x + 40)°

Question

true converses? 211° 67° (x + 40)°

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°.
So, \(67^{\circ}+(x + 40)^{\circ}+211^{\circ}=360^{\circ}\).

Step2: Simplify the left - hand side

\(67+(x + 40)+211=x+(67 + 40+211)=x + 318\).
So, the equation becomes \(x + 318=360\).

Step3: Solve for x

Subtract 318 from both sides: \(x=360 - 318\).
\(x = 42\).

Answer:

\(x = 42\)