Victory for the ACT Exam 16e TG Sample

524 • M ATH

STUDENT TEXT, p. 191 32. In the �igure below, x = ? F. G. 1 1 5 2 0 0 H. 180 J. 210

EXPLANATIONS

32. (J) Mathematics/Geometry/Lines and Angles CC: 7.G.B.5 CCRS: AVG+.G.5

Difficulty Level = 1; Teaching Time = 3–6 minutes; Purpose = Example Tdehteedrmraiwnaintigonmoufst be fairly accurate or a x ° would not be possible. T( Fh)e, (aGn)g, laeni ds l(aHr )g. eNr ot hwa, nt h1e8q0u° e, ss ot i oe nl i mi s i nh oa twe much greater than 180° is x °? Clearly, the aTnhgelreeefoxrtee,nds less than 45° beyond 180°. x 180 30 210 .

“t hGeu ec sosrtriemc ta tai nn sgw” iesr.aI nu st ehfeusl et es ci thunaitqi oune s, ,bsut tu odfet ne nt s i ct awni lml ne oa st ubree eansoau lgahs tt or eascocrut r. aWt ehl yi l ed et ht ee ryma irneen o t ablolothwjeodbsto: tbhreinagnsawperrotsrhaecetto.r or a ruler to the test, the test proctor provides something that does Tv ihs eu aalni zsiwn eg rasnhgel ee st , ht ahse faonusrwr ei grhsthaenegt lwe si —l l hoenl ep ;attheeayc chacno ur ns ee ra. nF yo rc os trundeer notfs thhaevai nn gs wt reorusbhl ee e t t o mexeaacstluyr9e0a°n.gles. This will indicate immediately whether an angle is larger than, smaller than, or

Measuring Items #33–34

Snoutler the Advisor Th ahse faonusrwr ei grhsth e e t ac on rgnl eesr—. I f oynoeu aht aevaec h tarnogul eb sl e, tvhi es uaanl si zwi ne gr suhs ee eatnwy icl lohr ne lepr; o f tt oh emaenasswu er er sa hn eg el et s . Ti mhmi s ewdiilal tienldyi c a t e wl a rhgeet hr et hr aann, as nmgal el l ei sr than, or exactly 90°.

STUDENT TEXT, p. 191 33. In the �igure below, x = ?

EXPLANATIONS

33. (B) Mathematics/Geometry/Lines and Angles CC: 8.G.A.5 CCRS: AVG+.G.5 Difficulty Level = 1; Teaching Time = 3–6 minutes; Purpose = Walkthrough Ipf l ay coeu tchaen cnoortnseere ot fhaa tpti he ce ea on fs wp aepr ei rs n( Be x) ,t tcoortnheera:ngle in question and fold back the

A. 30 B. 45 C. D. 6 7 0 5

Tt hhee rai gnhgtl ea snegel emfso rt ombeed abbyotuhtehpaal fg oe ,f s o x 45 = .