After it dried, which took about two hours, I sanded it flush with the wood using #120-grit sandpaper, then stained the entire shelf. You have to look closely to see the spot where the nail hole had been! Quick Tip: Always sand in the direction of the grain of the wood to avoid unsightly scratches.
Angle Sum Theorem. The Angle Sum Theorem gives an important result about triangles, which is used in many algebra and geometry problems. We give the proof below. Theorem: The sum of the measures of the interior angles of a triangle is 180 Â°. Given: Î X Y Z. Prove: m â  1 + m â  2 + m â  3 = 180 Â°
But we also know the angles in the triangle add to 180 o: , so . Since and are both equal to , they are equal to each other by the transitive property: . Here is an obvious result that follows immediately: Corollary to the Exterior Angle Theorem. The measure of an exterior angle is always greater than the measure of either remote interior angle. Proof: In the above setup, . If we drop one of the measures on the right, we have or since angles always have positive measure. Relation between Angles and Sides of a Triangle