4 years ago

Finding perpendiculars to planes

1 answer:

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Answer: If the plane is perpendicular to the line, the normal vector of the plane is equal to the direction vector of the line

Step-by-step explanation:

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In ΔABC, if m∠A = 43° and m∠C = 66°, then find m∠B.

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The measures of the angles in a triangle add up to 180°.
$m \angle A + m \angle B + m \angle C = 180^\circ \\
m \angle A=43^\circ, \ m \angle C = 66^\circ \\ \downarrow \\
43^\circ+ m \angle B + 66^\circ = 180^\circ \\
m \angle B + 109^\circ = 180^\circ \\
m \angle B =180^\circ - 109^\circ \\
\boxed{m \angle B=71^\circ}$

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