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A few geometry research aids are overly complicated and do extra damage than strong. 501 Geometry Questions offers concise questions and transparent solutions to familarize scholars with geometry questions. Standardized tests-takers will locate this publication an crucial reduction. Math ideas and houses are made transparent, together with trigonometry fundamentals, angles and contours, ratios, share, perimeter, and floor measures.
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When lines intersect, they create four angles: notice the appearance of the hub around the vertex in the ﬁgure above. When the measures of those four angles are added, the sum equals the rotation of a complete circle, or 360°. When the sum of the measures of any two angles equals 180°, the angles are called supplementary angles. When straight lines intersect, two angles next to each other are called adjacent angles. They share a vertex, a side, and no interior points. Adjacent angles along a straight line measure half a circle’s rotation, or 180°.
32. d. If a vertex is shared by more than one angle, then the letter describing the vertex cannot be used to name any of the angles. It would be too confusing. Set 8 33. a. Opposite rays form straight lines and straight angles. Choices b, c, and d contradict the three deﬁning elements of a pair of opposite rays. 34. c. If a vertex is shared by more than one angle, then it cannot be used to name any of the angles. 35. d. ∠EDF and ∠GDE share vertex point D and side DE. Choice c is incorrect because there is not enough information.
TLK and ∠MLS are opposite angles formed by intersecting lines TS and MK; thus, they are vertical angles. 97. a. ∠MOR and ∠NOK are both adjacent to ∠NOM along two different lines. The measure of each angle added to the measure of ∠NOM equals that of a straight line, or 180°. Each of the other answer choices is supplementary to each other, but not to ∠NOM. 98. c. ∠1 is the vertical angle to ∠TLK, which is given. ∠2 is the vertical pair to ∠NOM, which is also given. Since vertical angles are congruent, ∠1 and ∠2 measure 42° and 97°, respectively.